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Invariant Means and Finite Representation Theory of C*-Algebras

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Invariant Means and Finite Representation Theory of C*-Algebras Synopsis

Various subsets of the tracial state space of a unital $C^*$-algebra are studied. The largest of these subsets has a natural interpretation as the space of invariant means. II$_1$-factor representations of a class of $C^*$-algebras considered by Sorin Popa are also studied. These algebras are shown to have an unexpected variety of II$_1$-factor representations. In addition to developing some general theory we also show that these ideas are related to numerous other problems in operator algebras.

About This Edition

ISBN: 9780821839164
Publication date:
Author: Nathanial P Brown
Publisher: American Mathematical Society
Format: Paperback
Pagination: 105 pages
Series: Memoirs of the American Mathematical Society
Genres: Functional analysis and transforms
Calculus and mathematical analysis