Author: Edward G. EffrosPublisher: American Mathematical Soc.
ISBN: 0821812750
Category : Algebras, Linear
Languages : en
Pages : 99
Book Description
Locally Compact Transformation Groups and C^*-Algebras
Author: Edward G. EffrosPublisher: American Mathematical Soc.
ISBN: 0821812750
Category : Algebras, Linear
Languages : en
Pages : 99
Book Description
Introduction to Compact Transformation Groups
Author: Publisher: Academic Press
ISBN: 0080873596
Category : Mathematics
Languages : en
Pages : 477
Book Description
Introduction to Compact Transformation Groups
Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles
Author: J. M.G. FellPublisher: Academic Press
ISBN: 0080874444
Category : Mathematics
Languages : en
Pages : 771
Book Description
This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.
C^*-Bundles and Compact Transformation Groups
Author: Bruce D. EvansPublisher: American Mathematical Soc.
ISBN: 0821822691
Category : Mathematics
Languages : en
Pages : 74
Book Description
Crossed Products of $C^*$-Algebras
Author: Dana P. WilliamsPublisher: American Mathematical Soc.
ISBN: 0821842420
Category : Mathematics
Languages : en
Pages : 546
Book Description
The theory of crossed products is extremely rich and intriguing. There are applications not only to operator algebras, but to subjects as varied as noncommutative geometry and mathematical physics. This book provides a detailed introduction to this vast subject suitable for graduate students and others whose research has contact with crossed product $C*$-algebras. in addition to providing the basic definitions and results, the main focus of this book is the fine ideal structure of crossed products as revealed by the study of induced representations via the Green-Mackey-Rieffel machine. in particular, there is an in-depth analysis of the imprimitivity theorems on which Rieffel's theory of induced representations and Morita equivalence of $C*$-algebras are based. There is also a detailed treatment of the generalized Effros-Hahn conjecture and its proof due to Gootman, Rosenberg, and Sauvageot. This book is meant to be self-contained and accessible to any graduate student coming out of a first course on operator algebras. There are appendices that deal with ancillary subjects, which while not central to the subject, are nevertheless crucial for a complete understanding of the material. Some of the appendices will be of independent interest. to view another book by this author, please visit Morita Equivalence and Continuous-Trace $C*$-Algebras.
A Groupoid Approach to C*-Algebras
Author: Jean RenaultPublisher: Springer
ISBN: 3540392181
Category : Mathematics
Languages : en
Pages : 164
Book Description
Operator Algebras and Applications, Part 1
Author: Richard V. KadisonPublisher: American Mathematical Soc.
ISBN: 9780821814413
Category : Mathematics
Languages : en
Pages : 798
Book Description
Fundamentals of Infinite Dimensional Representation Theory
Author: Raymond C. FabecPublisher: CRC Press
ISBN: 1351990217
Category : Mathematics
Languages : en
Pages : 448
Book Description
Infinite dimensional representation theory blossomed in the latter half of the twentieth century, developing in part with quantum mechanics and becoming one of the mainstays of modern mathematics. Fundamentals of Infinite Dimensional Representation Theory provides an accessible account of the topics in analytic group representation theory and operator algebras from which much of the subject has evolved. It presents new and old results in a coherent and natural manner and studies a number of tools useful in various areas of this diversely applied subject. From Borel spaces and selection theorems to Mackey's theory of induction, measures on homogeneous spaces, and the theory of left Hilbert algebras, the author's self-contained treatment allows readers to choose from a wide variety of topics and pursue them independently according to their needs. Beyond serving as both a general reference and as a text for those requiring a background in group-operator algebra representation theory, for careful readers, this monograph helps reveal not only the subject's utility, but also its inherent beauty.
Invitation To C*-algebras And Topological Dynamics
Author: Jun TomiyamaPublisher: World Scientific
ISBN: 9814507792
Category : Mathematics
Languages : en
Pages : 179
Book Description
This book is an exposition on the interesting interplay between topological dynamics and the theory of C*-algebras. Researchers working in topological dynamics from various fields in mathematics are becoming more and more interested in this kind of algebraic approach of dynamics. This book is designed to present to the readers the subject in an elementary way, including also results of recent developments.
$C^*$-Algebras: 1943-1993
Author: Publisher: American Mathematical Soc.
ISBN: 0821851756
Category : C*-algebras
Languages : en
Pages : 434
Book Description