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Invariant means and finite representation theory of C*-algebras | Nathanial P. Brown
; | Date: |
1 Apr 2003 | Subject: | Operator Algebras | math.OA | Abstract: | 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. This general theory is related to various other problems as well. Applications include: (1) A characterization of R^{omega}-embeddable factors in terms of Lance’s WEP. (2) A classification theorem for certain simple, nuclear C*-algebras with unique trace. (3) For a self-adjoint operator there always exists a filtration such that the finite section method (from numerical analysis) works as well as could be hoped for. (4) New examples of non-tracially AF algebras which answer negatively questions of Sorin Popa and Huaxin Lin. | Source: | arXiv, math.OA/0304009 | Other source: | [GID 496311] math.OA/0304009 | Services: | Forum | Review | PDF | Favorites |
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