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C Algebra Extensions And K Homology Am 95 Volume 95
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Book Synopsis C*-Algebra Extensions and K-Homology. (AM-95), Volume 95 by : Ronald G. Douglas
Download or read book C*-Algebra Extensions and K-Homology. (AM-95), Volume 95 written by Ronald G. Douglas and published by Princeton University Press. This book was released on 2016-03-02 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ⃗ Ext (X) defines a homotopy invariant covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows, following Atiyah, that a concrete realization of K-homology is obtained.
Book Synopsis C*-algebra Extensions and K-homology by : Ronald G. Douglas
Download or read book C*-algebra Extensions and K-homology written by Ronald G. Douglas and published by . This book was released on 1980 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ⃗ Ext (X) defines a homotopy invariant covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows, following Atiyah, that a concrete realization of K-homology is obtained.
Book Synopsis C*-Algebra Extensions and K-Homology by : Ronald G. Douglas
Download or read book C*-Algebra Extensions and K-Homology written by Ronald G. Douglas and published by Books on Demand. This book was released on 1980 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Radical Banach Algebras and Automatic Continuity by : J.M. Bachar
Download or read book Radical Banach Algebras and Automatic Continuity written by J.M. Bachar and published by Springer. This book was released on 2006-11-15 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric Methods in Physics XXXVIII by : Piotr Kielanowski
Download or read book Geometric Methods in Physics XXXVIII written by Piotr Kielanowski and published by Springer Nature. This book was released on 2020-10-27 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of articles based on the XXXVIII Białowieża Workshop on Geometric Methods in Physics, 2019. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstracts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities. The chapter “Toeplitz Extensions in Noncommutative Topology and Mathematical Physics” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Book Synopsis The Publishers' Trade List Annual by :
Download or read book The Publishers' Trade List Annual written by and published by . This book was released on 1986 with total page 1186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Subject Guide to Children's Books in Print 1997 by : Bowker Editorial Staff
Download or read book Subject Guide to Children's Books in Print 1997 written by Bowker Editorial Staff and published by R. R. Bowker. This book was released on 1996-09 with total page 2776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Algebraic and Topological K-Theory by : Paul Frank Baum
Download or read book Topics in Algebraic and Topological K-Theory written by Paul Frank Baum and published by Springer Science & Business Media. This book was released on 2010-11-05 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics within the field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topological K-theory of topological algebras, the K-theory of schemes, and the theory of dg-categories.
Download or read book Books in Print written by and published by . This book was released on 1994 with total page 2132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Subject Guide to Books in Print by :
Download or read book Subject Guide to Books in Print written by and published by . This book was released on 2001 with total page 3054 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Homotopy Theory with Bornological Coarse Spaces by : Ulrich Bunke
Download or read book Homotopy Theory with Bornological Coarse Spaces written by Ulrich Bunke and published by Springer Nature. This book was released on 2020-09-03 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a new approach to assembly maps, this book develops the foundations of coarse homotopy using the language of infinity categories. It introduces the category of bornological coarse spaces and the notion of a coarse homology theory, and further constructs the universal coarse homology theory. Hybrid structures are introduced as a tool to connect large-scale with small-scale geometry, and are then employed to describe the coarse motives of bornological coarse spaces of finite asymptotic dimension. The remainder of the book is devoted to the construction of examples of coarse homology theories, including an account of the coarsification of locally finite homology theories and of coarse K-theory. Thereby it develops background material about locally finite homology theories and C*-categories. The book is intended for advanced graduate students and researchers who want to learn about the homotopy-theoretical aspects of large scale geometry via the theory of infinity categories.
Book Synopsis Quantum Riemannian Geometry by : Edwin J. Beggs
Download or read book Quantum Riemannian Geometry written by Edwin J. Beggs and published by Springer Nature. This book was released on 2020-01-31 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need not commute. This requires a reinvention of differential geometry that refers only to the coordinate algebra, now possibly noncommutative, rather than to actual points. Such a theory is needed for the geometry of Hopf algebras or quantum groups, which provide key examples, as well as in physics to model quantum gravity effects in the form of quantum spacetime. The mathematical formalism can be applied to any algebra and includes graph geometry and a Lie theory of finite groups. Even the algebra of 2 x 2 matrices turns out to admit a rich moduli of quantum Riemannian geometries. The approach taken is a `bottom up’ one in which the different layers of geometry are built up in succession, starting from differential forms and proceeding up to the notion of a quantum `Levi-Civita’ bimodule connection, geometric Laplacians and, in some cases, Dirac operators. The book also covers elements of Connes’ approach to the subject coming from cyclic cohomology and spectral triples. Other topics include various other cohomology theories, holomorphic structures and noncommutative D-modules. A unique feature of the book is its constructive approach and its wealth of examples drawn from a large body of literature in mathematical physics, now put on a firm algebraic footing. Including exercises with solutions, it can be used as a textbook for advanced courses as well as a reference for researchers.
Book Synopsis The Cohomology of Monoids by : Antonio M. Cegarra
Download or read book The Cohomology of Monoids written by Antonio M. Cegarra and published by Springer Nature. This book was released on 2024 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zusammenfassung: This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech's original monograph in the Memoirs of the American Mathematical Society dates back to 1975. This book is an organized, accessible, and self-contained account of this cohomology that includes more recent significant developments that were previously scattered among various publications, along with completely new material. It summarizes the original Leech theory and provides a modern and thorough treatment of the cohomological classification of coextensions of both monoids and monoidal groupoids, including the case of monoids with operators. This cohomology is also compared to the classical Eilenberg-Mac Lane and Hochschild-Mitchell cohomologies. Connections are also established with the Lausch-Loganathan cohomology theory for inverse semigroups, the Gabriel-Zisman cohomology of simplicial sets, the Wells cohomology of small categories (also known as Baues-Wirsching cohomology), Grothendieck sheaf cohomology, and finally Beck's triple cohomology. It also establishes connections with Grillet's cohomology theory for commutative semigroups. The monograph is aimed at researchers in the theory of monoids, or even semigroups, and its interface with category theory, homological algebra, and related fields. However, it is also written to be accessible to graduate students in mathematics and mathematicians in general
Book Synopsis Associations' Publications in Print by :
Download or read book Associations' Publications in Print written by and published by . This book was released on 1981 with total page 1176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1981- in 2 v.: v.1, Subject index; v.2, Title index, Publisher/title index, Association name index, Acronym index, Key to publishers' and distributors' abbreviations.
Book Synopsis Scientific and Technical Books and Serials in Print by :
Download or read book Scientific and Technical Books and Serials in Print written by and published by . This book was released on 1989 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Higher Index Theory by : Rufus Willett
Download or read book Higher Index Theory written by Rufus Willett and published by Cambridge University Press. This book was released on 2020-07-02 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to physics. If the space of solutions is infinite dimensional, it becomes necessary to generalise the classical Fredholm index using tools from the K-theory of operator algebras. This leads to higher index theory, a rapidly developing subject with connections to noncommutative geometry, large-scale geometry, manifold topology and geometry, and operator algebras. Aimed at geometers, topologists and operator algebraists, this book takes a friendly and concrete approach to this exciting theory, focusing on the main conjectures in the area and their applications outside of it. A well-balanced combination of detailed introductory material (with exercises), cutting-edge developments and references to the wider literature make this a valuable guide to this active area for graduate students and experts alike.
Download or read book Paperbound Books in Print written by and published by . This book was released on 1992 with total page 1624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
