operator algebras and applications volume 2 london mathematical society lecture note series

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Introduction To Operator Space Theory

Author : Gilles Pisier
ISBN : 0521811651
Genre : Mathematics
File Size : 33. 52 MB
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An introduction to the theory of operator spaces, emphasising applications to C*-algebras.

An Introduction To Noncommutative Differential Geometry And Its Physical Applications

Author : J. Madore
ISBN : 0521659914
Genre : Mathematics
File Size : 79. 16 MB
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A thoroughly revised introduction to non-commutative geometry.

Introduction To Subfactors

Author : V. Jones
ISBN : 0521584205
Genre : Mathematics
File Size : 46. 8 MB
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These notes give an introduction to subfactors suitable for newcomers to the field.

Operator Algebras And Applications

Author : David E. Evans
ISBN : 9780521368445
Genre : Mathematics
File Size : 34. 72 MB
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These volumes form an authoritative statement of the current state of research in Operator Algebras. They consist of papers arising from a year-long symposium held at the University of Warwick. Contributors include many very well-known figures in the field.

Operator Algebras And Their Applications

Author : Robert S. Doran
ISBN : 9781470419486
Genre : Operator algebras
File Size : 68. 72 MB
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his volume contains the proceedings of the AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison, held from January 10–11, 2015, in San Antonio, Texas. Richard V. Kadison has been a towering figure in the study of operator algebras for more than 65 years. His research and leadership in the field have been fundamental in the development of the subject, and his influence continues to be felt though his work and the work of his many students, collaborators, and mentees. Among the topics addressed in this volume are the Kadison-Kaplanksy conjecture, classification of C∗-algebras, connections between operator spaces and parabolic induction, spectral flow, C∗-algebra actions, von Neumann algebras, and applications to mathematical physics.

Finite Von Neumann Algebras And Masas

Author : Allan Sinclair
ISBN : 9780521719193
Genre : Mathematics
File Size : 83. 29 MB
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A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa's methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of an II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neumann algebra theory.

An Introduction To K Theory For C Algebras

Author : M. Rørdam
ISBN : 0521789443
Genre : Mathematics
File Size : 54. 37 MB
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This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.

Double Affine Hecke Algebras

Author : Ivan Cherednik
ISBN : 9780521609180
Genre : Mathematics
File Size : 35. 65 MB
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This is an essentially self-contained monograph centered on the new double Hecke algebra technique.

New Trends In Mathematical Physics

Author : Vladas Sidoravicius
ISBN : 9789048128105
Genre : Science
File Size : 72. 12 MB
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C Algebras And Finite Dimensional Approximations

Author : Nathanial Patrick Brown
ISBN : 9780821843819
Genre : Mathematics
File Size : 73. 88 MB
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$\mathrm{C}^*$-approximation theory has provided the foundation for many of the most important conceptual breakthroughs and applications of operator algebras. This book systematically studies (most of) the numerous types of approximation properties that have been important in recent years: nuclearity, exactness, quasidiagonality, local reflexivity, and others. Moreover, it contains user-friendly proofs, insofar as that is possible, of many fundamental results that were previously quite hard to extract from the literature. Indeed, perhaps the most important novelty of the first ten chapters is an earnest attempt to explain some fundamental, but difficult and technical, results as painlessly as possible. The latter half of the book presents related topics and applications--written with researchers and advanced, well-trained students in mind. The authors have tried to meet the needs both of students wishing to learn the basics of an important area of research as well as researchers who desire a fairly comprehensive reference for the theory and applications of $\mathrm{C}^*$-approximation theory.

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