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Invariant Means and Finite Representation Theory of $c*$-Algebras (Memoirs of the American Mathematical Society) - Nathanial P. Brown

Invariant Means and Finite Representation Theory of $c*$-Algebras (Memoirs of the American Mathematical Society)

Author: Nathanial P. Brown
Book title: Invariant Means and Finite Representation Theory of $c*$-Algebras (Memoirs of the American Mathematical Society)
ISBN: 0821839160
ISBN13: 978-0821839164
Publisher: American Mathematical Society (October 5, 2006)
Language: English
Category: Mathematics
Rating: 4.8/5
Votes: 969
Pages: 105 pages
More formats: txt doc mbr txt

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.
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