Invariant Means And Finite Representation Theory Of C* Algebras
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Invariant Means and Finite Representation Theory of C*-algebras
Author: Nathanial Patrick Brown
language: en
Publisher: American Mathematical Soc.
Release Date: 2006
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.
Invariant Means and Finite Representation Theory of $C^*$-Algebras
Author: Nathanial Patrick Brown
language: en
Publisher: American Mathematical Soc.
Release Date: 2006
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 inoperator algebras.
Model Theory of $mathrm {C}^*$-Algebras
Author: Ilijas Farah
language: en
Publisher: American Mathematical Society
Release Date: 2021-09-24
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