Invariant Means and Finite Representation Theory of C*-Algebras
Author:   Nathanial P. Brown
Publisher:   American Mathematical Society
Volume:   No. 184
ISBN:  

9780821839164


Pages:   105
Publication Date:   01 November 2006
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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Invariant Means and Finite Representation Theory of C*-Algebras


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Overview

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.

Full Product Details

Author:   Nathanial P. Brown
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 184
Weight:   0.227kg
ISBN:  

9780821839164


ISBN 10:   0821839160
Pages:   105
Publication Date:   01 November 2006
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Introduction Notation, definitions and useful facts Amenable traces and stronger approximation properties Examples and special cases Finite representations Applications and connections with other areas Bibliography.

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