Inclusions of simple $C^*$-algebras
| dc.creator | Izumi, Masaki | |
| dc.date | 2001-06-13 | |
| dc.date.accessioned | 2026-07-07T04:42:10Z | |
| dc.date.available | 2026-07-07T04:42:10Z | |
| dc.description | We prove that if a conditional expectation from a simple $C^*$-algebra onto its $C^*$-subalgebra satisfies the Pimsner-Popa inequality, there exists a quasi-basis. As an application, we establish the Galois correspondence for outer actions of finite groups (and more generally finite dimensional Kac algebras) on simple $C^*$-algebras. We also introduce the notion of sectors for stable simple $C^*$-algebras and purely infinite simple $C^*$-algebras in the Cuntz standard form, and discuss several applications, including their relationship to $K$-theory. | |
| dc.identifier | https://arxiv.org/abs/math/0106117 | |
| dc.identifier | http://arxiv.org/abs/math/0106117 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61658 | |
| dc.subject | Operator Algebras | |
| dc.title | Inclusions of simple $C^*$-algebras | |
| dc.type | text |