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On The Classification Of Simple C Algebras Which Are Inductive Limits Of Continuous Trace C Algebras Whose Spectrum Is The Closed Interval 01 Microform
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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)
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.
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.
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 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper a [italic capital]K-theoretic classification is given of the real rank zero [italic capital]C*-algebras that can be expressed as inductive limits of sequences of finite direct sums of matrix algebras over finite connected graphs (possibly with multiple vertices). The special case that the graphs are circles is due to Elliott.
Book Synopsis Classification of Ring and $C^\ast $-Algebra Direct Limits of Finite-Dimensional Semisimple Real Algebras by : K. R. Goodearl
Download or read book Classification of Ring and $C^\ast $-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 with total page 161 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.
Book Synopsis C* - Algebras and Numerical Analysis by : Ronald Hagen
Download or read book C* - Algebras and Numerical Analysis written by Ronald Hagen and published by CRC Press. This book was released on 2000-09-07 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analyzes algebras of concrete approximation methods detailing prerequisites, local principles, and lifting theorems. Covers fractality and Fredholmness. Explains the phenomena of the asymptotic splitting of the singular values, and more."
Book Synopsis Limits of Certain Subhomogeneous C*-algebras by : Klaus Thomsen
Download or read book Limits of Certain Subhomogeneous C*-algebras written by Klaus Thomsen and published by . This book was released on 1997 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, it is shown that the Elliott invariant is a complete invariant for the simple unital $C^*$-algebras which can be realized as an inductive limit of a sequence of finite direct sums of algebras of the form $\{f\in C(\mathbb T) \oplus M_n\: f(x_i)\in M_d, i= 1, 2,\dots, N\}$, where $x_1, x_2,\dots, x_N$ is an arbitrary (finite) set on the circle $\mathbb T$ and $d$ is a natural number dividing $n$. The corresponding range of invariants is identified and the classification result is extended to the non-unital case. A series of results about the structure of these $C^*$-algebras and the maps between them are also obtained.
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
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)
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:
Book Synopsis Perturbation theory for linear operators by : Tosio Kato
Download or read book Perturbation theory for linear operators written by Tosio Kato and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of K-Theory by : Eric Friedlander
Download or read book Handbook of K-Theory written by Eric Friedlander and published by Springer Science & Business Media. This book was released on 2005-07-18 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook offers a compilation of techniques and results in K-theory. Each chapter is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. It offers an exposition of our current state of knowledge as well as an implicit blueprint for future research.
Book Synopsis An Introduction to Ray Tracing by : Andrew S. Glassner
Download or read book An Introduction to Ray Tracing written by Andrew S. Glassner and published by Elsevier. This book was released on 1989-06-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The creation of ever more realistic 3-D images is central to the development of computer graphics. The ray tracing technique has become one of the most popular and powerful means by which photo-realistic images can now be created. The simplicity, elegance and ease of implementation makes ray tracing an essential part of understanding and exploiting state-of-the-art computer graphics. An Introduction to Ray Tracing develops from fundamental principles to advanced applications, providing "how-to" procedures as well as a detailed understanding of the scientific foundations of ray tracing. It is also richly illustrated with four-color and black-and-white plates. This is a book which will be welcomed by all concerned with modern computer graphics, image processing, and computer-aided design. Provides practical "how-to" information Contains high quality color plates of images created using ray tracing techniques Progresses from a basic understanding to the advanced science and application of ray tracing
Author :Igor R. Shafarevich Publisher :Springer Science & Business Media ISBN 13 :9783540251774 Total Pages :272 pages Book Rating :4.2/5 (517 download)
Book Synopsis Basic Notions of Algebra by : Igor R. Shafarevich
Download or read book Basic Notions of Algebra written by Igor R. Shafarevich and published by Springer Science & Business Media. This book was released on 2005-04-13 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields studied in every university maths course, through Lie groups to cohomology and category theory, the author shows how the origins of each concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Required reading for mathematicians, from beginners to experts.
Book Synopsis Pseudodifferential Operators and Spectral Theory by : M.A. Shubin
Download or read book Pseudodifferential Operators and Spectral Theory written by M.A. Shubin and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: I had mixed feelings when I thought how I should prepare the book for the second edition. It was clear to me that I had to correct all mistakes and misprints that were found in the book during the life of the first edition. This was easy to do because the mistakes were mostly minor and easy to correct, and the misprints were not many. It was more difficult to decide whether I should update the book (or at least its bibliography) somehow. I decided that it did not need much of an updating. The main value of any good mathematical book is that it teaches its reader some language and some skills. It can not exhaust any substantial topic no matter how hard the author tried. Pseudodifferential operators became a language and a tool of analysis of partial differential equations long ago. Therefore it is meaningless to try to exhaust this topic. Here is an easy proof. As of July 3, 2000, MathSciNet (the database of the American Mathematical Society) in a few seconds found 3695 sources, among them 363 books, during its search for "pseudodifferential operator". (The search also led to finding 963 sources for "pseudo-differential operator" but I was unable to check how much the results ofthese two searches intersected). This means that the corresponding words appear either in the title or in the review published in Mathematical Reviews.
Book Synopsis Frequency Standards by : Fritz Riehle
Download or read book Frequency Standards written by Fritz Riehle and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of all measurement units, frequency is the one that may be determined with the highest degree of accuracy. It equally allows precise measurements of other physical and technical quantities, whenever they can be measured in terms of frequency. This volume covers the central methods and techniques relevant for frequency standards developed in physics, electronics, quantum electronics, and statistics. After a review of the basic principles, the book looks at the realisation of commonly used components. It then continues with the description and characterisation of important frequency standards from atomic clocks, to frequency stabilised lasers. The whole is rounded of with a discussion of topical applications in engineering, telecommunications, and metrology.
Book Synopsis Principles of Geographic Information Systems by : Rolf A. de By
Download or read book Principles of Geographic Information Systems written by Rolf A. de By and published by . This book was released on 2004 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Electromagnetic Noise and Quantum Optical Measurements by : Hermann A. Haus
Download or read book Electromagnetic Noise and Quantum Optical Measurements written by Hermann A. Haus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Haus’ book provides numerous insights on topics of wide importance, and contains much material not available elsewhere in book form. [...] an indispensable resource for those working in quantum optics or electronics." Optics & Photonics News
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