Meet Irreducible Ideals and Representations of Limit Algebras
| dc.creator | Davidson, Kenneth R. | |
| dc.creator | Katsoulis, Elias | |
| dc.creator | Peters, Justin | |
| dc.date | 2002-06-24 | |
| dc.date.accessioned | 2026-07-07T04:49:20Z | |
| dc.date.available | 2026-07-07T04:49:20Z | |
| dc.description | In this paper we give a criterion for an ideal of a TAF algebra to be meet irreducible. We show that an ideal $J$ of $A$ is meet irreducile if and only if the C$^*$-envelope of the quotient $A/J$ is primitive. In that case, A/J admits a nest representation which extends to a *-representation of the C$^*$-envelope for $A/J.$ We also characterize the meet irreducible ideals as the kernels of nest representations; this settles the question of whether the n-primitive and meet irreducible ideals coincide. | |
| dc.description | 8 pages; accepted in JFA | |
| dc.identifier | https://arxiv.org/abs/math/0206252 | |
| dc.identifier | http://arxiv.org/abs/math/0206252 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64382 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47D25; 46M40 | |
| dc.title | Meet Irreducible Ideals and Representations of Limit Algebras | |
| dc.type | text |