Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles
Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

Author: J. M.G. Fell

Publisher: Academic Press

Published: 1988-04-15

Total Pages: 771

ISBN-13: 0080874444

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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.

Invitation to C*-algebras and Topological Dynamics
Invitation to C*-algebras and Topological Dynamics

Author: Jun Tomiyama

Publisher: World Scientific

Published: 1987

Total Pages: 180

ISBN-13: 9789971503383

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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.

Tool Kit for Groupoid C∗ -Algebras
Tool Kit for Groupoid C∗ -Algebras

Author: Dana P. Williams

Publisher: American Mathematical Soc.

Published: 2019-09-24

Total Pages: 398

ISBN-13: 1470451336

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The 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.