Invariant means and finite representation theory of C*-algebras
| dc.creator | Brown, Nathanial P. | |
| dc.date | 2003-04-01 | |
| dc.date | 2006-02-14 | |
| dc.date.accessioned | 2026-07-07T06:35:37Z | |
| dc.date.available | 2026-07-07T06:35:37Z | |
| dc.description | 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^ω-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. | |
| dc.description | This is the final revision! Really. The paper was accepted by Memoirs of AMS, so most of the changes amount to adding details and discussion. 104 pages | |
| dc.identifier | https://arxiv.org/abs/math/0304009 | |
| dc.identifier | http://arxiv.org/abs/math/0304009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99846 | |
| dc.subject | Operator Algebras | |
| dc.title | Invariant means and finite representation theory of C*-algebras | |
| dc.type | text |