Invariant Means and Finite Representation Theory of C*-Algebras Nathanial P. Brown

ISBN: 9780821839164

Published: October 5th 2006

Paperback

105 pages


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Invariant Means and Finite Representation Theory of C*-Algebras  by  Nathanial P. Brown

Invariant Means and Finite Representation Theory of C*-Algebras by Nathanial P. Brown
October 5th 2006 | Paperback | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 105 pages | ISBN: 9780821839164 | 6.57 Mb

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 byMoreVarious 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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