An edition of C[asterisk]-algebras by example (1996)

C[asterisk]-algebras by example

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Last edited by MARC Bot
August 6, 2024 | History
An edition of C[asterisk]-algebras by example (1996)

C[asterisk]-algebras by example

The subject of C*-algebras received a dramatic revitalization in the 1970s by the introduction of topological methods through the work of Brown, Douglas, and Fillmore on extensions of C-algebras and Elliott's use of K-theory to provide a useful classification of AF algebras. These results were the beginning of a marvelous new set of tools for analyzing concrete C-algebras.

This book is an introductory graduate level text which presents the basics of the subject through a detailed analysis of several important classes of C-algebras. The development of operator algebras in the last twenty years has been based on a careful study of these special classes. While there are many books on C-algebras and operator algebras available, this is the first one to attempt to explain the real examples that researchers use to test their hypotheses.

Topic include AF algebras, Bunce-Deddens and Cuntz algebras, the Toeplitz algebra, irrational rotation algebras, group C-algebras, discrete crossed products, abelian C-algebras (spectral theory and approximate unitary equivalence) and extensions. It also introduces many modern concepts and results in the subject such as real rank zero algebras, topological stable rank, quasidiagonality, and various new constructions.

These notes were compiled during the author's participation in the special year on C-algebras at the Fields Institute of Mathematics during the 1994-1995 academic year. The field of C-algebras touches upon many other areas of mathematics such as group representations, dynamical systems, physics, K-theory, and topology. The variety of examples offered in this text expose the student to many of these connections.

A graduate student with a solid course in functional analysis should be able to read this book. This should prepare them to read much of the current literature. This book is reasonably self-contained, and the author has provided results from other areas when necessary.

Publish Date
Language
English
Pages
309

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Previews available in: English

Edition Availability
Cover of: C[asterisk]-algebras by example
C[asterisk]-algebras by example
1996, American Mathematical Society, Amer Mathematical Society
in English

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Book Details


Edition Notes

Includes bibliographical references (p. 303-306) and index.

Published in
Providence, R.I
Series
Fields Institute monographs -- 6

Classifications

Dewey Decimal Class
512/.55
Library of Congress
QA326, QA326 .D375 1996, QA326.D375 1996

The Physical Object

Pagination
xiv, 309 p. :
Number of pages
309

ID Numbers

Open Library
OL22419820M
Internet Archive
cstaralgebrasbye00davi
ISBN 10
0821805991
LCCN
96020184
OCLC/WorldCat
34669383
Library Thing
1063791
Goodreads
3740117

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August 6, 2024 Edited by MARC Bot import existing book
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November 12, 2008 Created by ImportBot Imported from Talis record