On the dimension theory of von Neumann algebras
| dc.creator | Sherman, David | |
| dc.date | 2005-03-31 | |
| dc.date.accessioned | 2026-07-07T05:18:42Z | |
| dc.date.available | 2026-07-07T05:18:42Z | |
| dc.description | In this paper we study three aspects of (P(M)/~), the set of Murray-von Neumann equivalence classes of projections in a von Neumann algebra M. First we determine the topological structure that (P(M)/~) inherits from the operator topologies on M. Then we show that there is a version of the center-valued trace which extends the dimension function, even when M is not sigma-finite. Finally we prove that (P(M)/~) is a complete lattice, a fact which has an interesting reformulation in terms of representations. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503747 | |
| dc.identifier | http://arxiv.org/abs/math/0503747 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74752 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L10 | |
| dc.title | On the dimension theory of von Neumann algebras | |
| dc.type | text |