Locally Compact Transformation Groups and C Stern -algebras
Author: Edward G. Effros
Publisher:
Published: 1967
Total Pages: 92
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Edward G. Effros
Publisher:
Published: 1967
Total Pages: 92
ISBN-13:
DOWNLOAD EBOOKAuthor: Edward G. Effros
Publisher: American Mathematical Soc.
Published: 1967
Total Pages: 99
ISBN-13: 0821812750
DOWNLOAD EBOOKAuthor: Tammo tom Dieck
Publisher: Walter de Gruyter
Published: 2011-04-20
Total Pages: 325
ISBN-13: 3110858371
DOWNLOAD EBOOK“This book is a jewel – it explains important, useful and deep topics in Algebraic Topology that you won’t find elsewhere, carefully and in detail.” Prof. Günter M. Ziegler, TU Berlin
Author: J. M.G. Fell
Publisher: Academic Press
Published: 1988-05-01
Total Pages: 755
ISBN-13: 0080874452
DOWNLOAD EBOOKThis 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.
Author: Dana P. Williams
Publisher: American Mathematical Soc.
Published: 2019-09-24
Total Pages: 398
ISBN-13: 1470451336
DOWNLOAD EBOOKThe construction of a C∗-algebra from a locally compact groupoid is an important generalization of the group C∗-algebra construction and of the transformation group C∗-algebra construction. Since their introduction in 1980, groupoid C∗-algebras have been intensively studied with diverse applications, including graph algebras, classification theory, variations on the Baum-Connes conjecture, and noncommutative geometry. This book provides a detailed introduction to this vast subject and is suitable for graduate students or any researcher who wants to use groupoid C∗-algebras in their work. The main focus is to equip the reader with modern versions of the basic technical tools used in the subject, which will allow the reader to understand fundamental results and make contributions to various areas in the subject. Thus, in addition to covering the basic properties and construction of groupoid C∗-algebras, the focus is to give a modern treatment of some of the major developments in the subject in recent years, including the Equivalence Theorem and the Disintegration Theorem. Also covered are the complicated subjects of amenability of groupoids and simplicity results. The book is reasonably self-contained and accessible to graduate students with a good background in operator algebras.
Author: Eberhard Kaniuth
Publisher: Cambridge University Press
Published: 2013
Total Pages: 359
ISBN-13: 052176226X
DOWNLOAD EBOOKA comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.
Author: Jean Renault
Publisher: Springer
Published: 2006-11-15
Total Pages: 164
ISBN-13: 3540392181
DOWNLOAD EBOOKAuthor: Jun Tomiyama
Publisher: World Scientific
Published: 1987
Total Pages: 180
ISBN-13: 9789971503383
DOWNLOAD EBOOKThis 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.
Author: Dana P. Williams
Publisher: American Mathematical Soc.
Published: 2007
Total Pages: 546
ISBN-13: 0821842420
DOWNLOAD EBOOKThe 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.
Author: Sergeĭ Vasilʹevich Duzhin
Publisher: American Mathematical Soc.
Published: 2004
Total Pages: 258
ISBN-13: 0821836439
DOWNLOAD EBOOKPresents a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. This work introduces the notions of a transformation group and of an abstract group. It gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations.