Non Commutative Topology and Local Structure of Operator Algebras
| dc.creator | Amini, Massoud | |
| dc.date | 2002-05-23 | |
| dc.date.accessioned | 2026-07-07T04:48:41Z | |
| dc.date.available | 2026-07-07T04:48:41Z | |
| dc.description | Starting with a $W^{*}$-algebra $M$ we use the inverse system obtained by cutting down $M$ by its (central) projections to define an inverse limit of $W^{*}$-algebras, and show that how this pro-$W^{*}$-algebra encodes the local structure of $M$. For the $C^{*}$-algebras we do the same thing using their atomic enveloping $W^{*}$-algebra . We investigate the relation of these ideas to the Akemann-Giles-Kummer non commutative topology. Finally we use these ideas to look at the local structure of Kac algebras. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0205257 | |
| dc.identifier | http://arxiv.org/abs/math/0205257 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64145 | |
| dc.subject | Operator Algebras | |
| dc.title | Non Commutative Topology and Local Structure of Operator Algebras | |
| dc.type | text |