A Galois Correspondence for Compact Groups of Automorphisms of von Neumann Algebras with a Generalization to Kac Algebras
| dc.creator | Izumi, Masaki | |
| dc.creator | Longo, Roberto | |
| dc.creator | Popa, Sorin | |
| dc.date | 1996-04-05 | |
| dc.date | 1998-06-04 | |
| dc.date.accessioned | 2026-07-07T09:02:55Z | |
| dc.date.available | 2026-07-07T09:02:55Z | |
| dc.description | Let $M$ be a factor with separable predual and $G$ a compact group of automorphisms of $M$ whose action is minimal, i.e. $M^{G^\prime}\cap M = C$, where $M^G$ denotes the $G$-fixed point subalgebra. Then every intemediate von Neumann algebra $M^G\subset N\subset M$ has the form $N=M^H$ for some closed subgroup $H$ of $G$. An extension of this result to the case of actions of compact Kac algebras on factors is also presented. No assumptions are made on the existence of a normal conditional expectation onto $N$. | |
| dc.description | Plain TeX. An appendix in AMS-TeX has been added on October 30, 1997 | |
| dc.identifier | https://arxiv.org/abs/funct-an/9604004 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9604004 | |
| dc.identifier | J. Funct. Anal. 155 (1998), 25-63 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148811 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | A Galois Correspondence for Compact Groups of Automorphisms of von Neumann Algebras with a Generalization to Kac Algebras | |
| dc.type | text |