Tracial invariants, classification and II_1 factor representations of Popa algebras
| dc.creator | Brown, Nathanial P. | |
| dc.date | 2001-11-27 | |
| dc.date | 2002-03-13 | |
| dc.date.accessioned | 2026-07-07T04:44:49Z | |
| dc.date.available | 2026-07-07T04:44:49Z | |
| dc.description | Using various finite dimensional approximation properties, four convex subsets of the tracial space of a unital C*-algebra are defined. Applications of these tracial invariants include: (1) An analogue of Szego's limit theorem for arbitrary self adjoint operators. (2) A McDuff factor embeds into the ultrapower of the hyperfinite II_1 factor if and only if it contains a weakly dense operator system which is injective. (3) There exists a simple, quasidiagonal, real rank zero C*-algebra with non-hyperfinite II_1 factor representations and which is not tracially AF. This answers negatively questions of Sorin Popa and, respectively, Huaxin Lin. | |
| dc.description | LaTeX 2e, 37 pages, minor revisions and (hopefully) improved exposition | |
| dc.identifier | https://arxiv.org/abs/math/0111286 | |
| dc.identifier | http://arxiv.org/abs/math/0111286 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62745 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L | |
| dc.title | Tracial invariants, classification and II_1 factor representations of Popa algebras | |
| dc.type | text |