On The Classification Of C Algebras Of Real Rank Zero Microform Inductive Limits Of Matrix Algebras Over Non Hausdorff Graphs

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On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs

Author : Hongbing Su
Publisher : American Mathematical Soc.
ISBN 13 : 0821826077
Total Pages : 83 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs by : Hongbing Su

Download or read book On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs written by Hongbing Su and published by American Mathematical Soc.. This book was released on 1995 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work shows that $K$-theoretic data is a complete invariant for certain inductive limit $C^*$-algebras. $C^*$-algebras of this kind are useful in studying group actions. Su gives a $K$-theoretic classification of the real rank zero $C^*$-algebras that can be expressed as inductive limits of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs or Hausdorff one-dimensional spaces defined as inverse limits of finite graphs. In addition, Su establishes a characterization for an inductive limit of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs to be real rank zero.

On the Classification of C*-algebras of Real Rank Zero [microform] : Inductive Limits of Matrix Algebras Over Non-Hausdorff Graphs

Author : Hongbing Su
Publisher : National Library of Canada = Bibliothèque nationale du Canada
ISBN 13 : 9780315787506
Total Pages : pages
Book Rating : 4.7/5 (875 download)

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Book Synopsis On the Classification of C*-algebras of Real Rank Zero [microform] : Inductive Limits of Matrix Algebras Over Non-Hausdorff Graphs by : Hongbing Su

Download or read book On the Classification of C*-algebras of Real Rank Zero [microform] : Inductive Limits of Matrix Algebras Over Non-Hausdorff Graphs written by Hongbing Su and published by National Library of Canada = Bibliothèque nationale du Canada. This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees

Author : Liangqing Li
Publisher : American Mathematical Soc.
ISBN 13 : 0821805967
Total Pages : 138 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees by : Liangqing Li

Download or read book Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees written by Liangqing Li and published by American Mathematical Soc.. This book was released on 1997 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, it is shown that the simple unital C*-algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over [italic capital]C([italic capital]X[subscript italic]i), where [italic capital]X[subscript italic]i are arbitrary variable trees, are classified by K-theoretical and tracial data. This result generalizes the result of George Elliott of the case of [italic capital]X[subscript italic]i = [0, 1]. The added generality is useful in the classification of more general inductive limit C*-algebras.

On the Classification of Simple C-algebras which are Inductive Limits of Continuous-trace C-algebras Whose Spectrum is the Closed Interval [0,1] [microform]

Download On the Classification of Simple C*-algebras which are Inductive Limits of Continuous-trace C*-algebras Whose Spectrum is the Closed Interval [0,1] [microform] PDF Online Free

Author : Cristian Ivanescu
Publisher : Library and Archives Canada = Bibliothèque et Archives Canada
ISBN 13 : 9780612944046
Total Pages : 226 pages
Book Rating : 4.9/5 (44 download)

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Book Synopsis On the Classification of Simple C*-algebras which are Inductive Limits of Continuous-trace C*-algebras Whose Spectrum is the Closed Interval [0,1] [microform] by : Cristian Ivanescu

Download or read book On the Classification of Simple C*-algebras which are Inductive Limits of Continuous-trace C*-algebras Whose Spectrum is the Closed Interval [0,1] [microform] written by Cristian Ivanescu and published by Library and Archives Canada = Bibliothèque et Archives Canada. This book was released on 2004 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classification is given of certain separable nuclear C*-algebras not necessarily of real rank zero, namely, the class of simple C*-algebras which are inductive limits of continuous-trace C*-algebras whose building blocks have spectrum homeomorphic to the closed interval [0, 1] or to a finite disjoint union of closed intervals. In particular, a classification of those stably AI algebras which are inductive limits of hereditary sub-C*-algebras of interval algebras is obtained. Also, the range of the invariant is calculated.

Classification of Direct Limits of Even Cuntz-circle Algebras

Author : Huaxin Lin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821862889
Total Pages : 132 pages
Book Rating : 4.8/5 (628 download)

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Book Synopsis Classification of Direct Limits of Even Cuntz-circle Algebras by : Huaxin Lin

Download or read book Classification of Direct Limits of Even Cuntz-circle Algebras written by Huaxin Lin and published by American Mathematical Soc.. This book was released on 1995 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: does not need NBB copy

Covering Dimension of C*-Algebras and 2-Coloured Classification

Author : Joan Bosa
Publisher : American Mathematical Soc.
ISBN 13 : 1470434709
Total Pages : 97 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Covering Dimension of C*-Algebras and 2-Coloured Classification by : Joan Bosa

Download or read book Covering Dimension of C*-Algebras and 2-Coloured Classification written by Joan Bosa and published by American Mathematical Soc.. This book was released on 2019-02-21 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors introduce the concept of finitely coloured equivalence for unital -homomorphisms between -algebras, for which unitary equivalence is the -coloured case. They use this notion to classify -homomorphisms from separable, unital, nuclear -algebras into ultrapowers of simple, unital, nuclear, -stable -algebras with compact extremal trace space up to -coloured equivalence by their behaviour on traces; this is based on a -coloured classification theorem for certain order zero maps, also in terms of tracial data. As an application the authors calculate the nuclear dimension of non-AF, simple, separable, unital, nuclear, -stable -algebras with compact extremal trace space: it is 1. In the case that the extremal trace space also has finite topological covering dimension, this confirms the remaining open implication of the Toms-Winter conjecture. Inspired by homotopy-rigidity theorems in geometry and topology, the authors derive a “homotopy equivalence implies isomorphism” result for large classes of -algebras with finite nuclear dimension.

Classification of Ring and C*-algebra Direct Limits of Finite-dimensional Semisimple Real Algebras

Author : K. R. Goodearl
Publisher : American Mathematical Soc.
ISBN 13 : 9780821861035
Total Pages : 162 pages
Book Rating : 4.8/5 (61 download)

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Book Synopsis Classification of Ring and C*-algebra Direct Limits of Finite-dimensional Semisimple Real Algebras by : K. R. Goodearl

Download or read book Classification of Ring and C*-algebra Direct Limits of Finite-dimensional Semisimple Real Algebras written by K. R. Goodearl and published by American Mathematical Soc.. This book was released on 1987-06-30 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by (i) Elliott's classification of direct limits of countable sequences of finite-dimensional semisimple complex algebras and complex AF C*-algebras, (ii) classical results classifying involutions on finite-dimensional semisimple complex algebras, and (iii) the classification by Handelman and Rossmann of automorphisms of period two on the algebras appearing in (i) we study the real algebras described above and completely classify them, up to isomorphism, Morita equivalence, or stable isomorphism. We also show how our classification easily distinguishes various types of algebras within the given classes, and we partially solve the problem of determining exactly which values are attained by the invariants used in classifying these algebras.

The Classification and Structure of C^*-Algebra Bundles

Author : Maurice J. Dupré
Publisher : American Mathematical Soc.
ISBN 13 : 9780821822227
Total Pages : 92 pages
Book Rating : 4.8/5 (222 download)

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Book Synopsis The Classification and Structure of C^*-Algebra Bundles by : Maurice J. Dupré

Download or read book The Classification and Structure of C^*-Algebra Bundles written by Maurice J. Dupré and published by American Mathematical Soc.. This book was released on 1979 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objects of study in this paper are certain fibre spaces which arise naturally in the representation theory of C*-algebras and locally compact groups. These are a type of Banach bundle, all of whose fibres are C*-algebras. The main aim of this paper is to give a pasting homotopy type classification theory for certain classes of C*-bundles having primarily finite-dimensional fibres and thus classifying the resulting second-order bundles.

Introduction to Compact Transformation Groups

Author :
Publisher : Academic Press
ISBN 13 : 9780080873596
Total Pages : 458 pages
Book Rating : 4.8/5 (735 download)

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Book Synopsis Introduction to Compact Transformation Groups by :

Download or read book Introduction to Compact Transformation Groups written by and published by Academic Press. This book was released on 1972-09-29 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Compact Transformation Groups

Combinatorial Algebraic Topology

Author : Dimitry Kozlov
Publisher : Springer Science & Business Media
ISBN 13 : 9783540730514
Total Pages : 416 pages
Book Rating : 4.7/5 (35 download)

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Book Synopsis Combinatorial Algebraic Topology by : Dimitry Kozlov

Download or read book Combinatorial Algebraic Topology written by Dimitry Kozlov and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.

Introduction to Singularities and Deformations

Author : Gert-Martin Greuel
Publisher : Springer Science & Business Media
ISBN 13 : 3540284192
Total Pages : 482 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Introduction to Singularities and Deformations by : Gert-Martin Greuel

Download or read book Introduction to Singularities and Deformations written by Gert-Martin Greuel and published by Springer Science & Business Media. This book was released on 2007-02-23 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs.

Lie Algebras and Lie Groups

Author : Jean-Pierre Serre
Publisher : Springer
ISBN 13 : 3540706348
Total Pages : 180 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Lie Algebras and Lie Groups by : Jean-Pierre Serre

Download or read book Lie Algebras and Lie Groups written by Jean-Pierre Serre and published by Springer. This book was released on 2009-02-07 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main general theorems on Lie Algebras are covered, roughly the content of Bourbaki's Chapter I.I have added some results on free Lie algebras, which are useful, both for Lie's theory itself (Campbell-Hausdorff formula) and for applications to pro-Jrgroups. of time prevented me from including the more precise theory of Lack semisimple Lie algebras (roots, weights, etc.); but, at least, I have given, as a last Chapter, the typical case ofal, . This part has been written with the help of F. Raggi and J. Tate. I want to thank them, and also Sue Golan, who did the typing for both parts. Jean-Pierre Serre Harvard, Fall 1964 Chapter I. Lie Algebras: Definition and Examples Let Ie be a commutativering with unit element, and let A be a k-module, then A is said to be a Ie-algebra if there is given a k-bilinear map A x A~ A (i.e., a k-homomorphism A0" A -+ A). As usual we may define left, right and two-sided ideals and therefore quo tients. Definition 1. A Lie algebra over Ie isan algebrawith the following properties: 1). The map A0i A -+ A admits a factorization A ®i A -+ A2A -+ A i.e., ifwe denote the imageof(x, y) under this map by [x, y) then the condition becomes for all x e k. [x, x)=0 2). (lx, II], z]+ny, z), x) + ([z, xl, til = 0 (Jacobi's identity) The condition 1) implies [x,1/]=-[1/, x).

Graphs on Surfaces and Their Applications

Author : Sergei K. Lando
Publisher : Springer Science & Business Media
ISBN 13 : 3540383611
Total Pages : 463 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Graphs on Surfaces and Their Applications by : Sergei K. Lando

Download or read book Graphs on Surfaces and Their Applications written by Sergei K. Lando and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research. The book provides an accessible introduction to this new domain, including such topics as coverings of Riemann surfaces, the Galois group action on embedded graphs (Grothendieck's theory of "dessins d'enfants"), the matrix integral method, moduli spaces of curves, the topology of meromorphic functions, and combinatorial aspects of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group representation theory. The presentation is concrete throughout, with numerous figures, examples (including computer calculations) and exercises, and should appeal to both graduate students and researchers.

Problem Book in Quantum Field Theory

Author : Voja Radovanovic
Publisher : Springer Science & Business Media
ISBN 13 : 3540770143
Total Pages : 242 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Problem Book in Quantum Field Theory by : Voja Radovanovic

Download or read book Problem Book in Quantum Field Theory written by Voja Radovanovic and published by Springer Science & Business Media. This book was released on 2008-01-24 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Problem Book in Quantum Field Theory contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. It deals with the Klein-Gordon and Dirac equations, classical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and regularization. The solutions are presented in a systematic and complete manner. The material covered and the level of exposition make the book appropriate for graduate and undergraduate students in physics, as well as for teachers and researchers.

Categories and Sheaves

Author : Masaki Kashiwara
Publisher : Springer Science & Business Media
ISBN 13 : 3540279504
Total Pages : 496 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Categories and Sheaves by : Masaki Kashiwara

Download or read book Categories and Sheaves written by Masaki Kashiwara and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.

The Geometry of Infinite-Dimensional Groups

Author : Boris Khesin
Publisher : Springer Science & Business Media
ISBN 13 : 3540772634
Total Pages : 304 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis The Geometry of Infinite-Dimensional Groups by : Boris Khesin

Download or read book The Geometry of Infinite-Dimensional Groups written by Boris Khesin and published by Springer Science & Business Media. This book was released on 2008-09-28 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.

Quantum Symmetries

Author : Alain Connes
Publisher : North-Holland
ISBN 13 :
Total Pages : 1038 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Quantum Symmetries by : Alain Connes

Download or read book Quantum Symmetries written by Alain Connes and published by North-Holland. This book was released on 1998 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hardbound. One of the greatest challenges that theoretical physics faces at the end of the century is to blend together the two revolutions of the beginning of the century, namely general relativity and quantum mechanics. One message that has become clear from the start and is common to both revolutions is that there is no limit to the level of sophistication of mathematics that will become essential to physics. This book comprises the lecture notes of the 1995 Les Houches Summer School. The aim of the school was to cover a wide range of areas, from theoretical physics to abstract mathematics, that are relevant in the search of a quantum theory of gravity. The lectures provide a systematic introduction to topological and conformal field theories, supersymmetry and super Yang-Mills theories, string theory and superstring dualities, integrable lattice models and quantum groups, non commutative geometry and the theory of diffeomorphism groups.It is di