A characterization of depth 2 subfactors of II_1 factors
| dc.creator | Nikshych, D. | |
| dc.creator | Vainerman, L. | |
| dc.date | 1998-10-06 | |
| dc.date | 1998-11-04 | |
| dc.date.accessioned | 2026-07-07T05:26:18Z | |
| dc.date.available | 2026-07-07T05:26:18Z | |
| dc.description | We characterize finite index depth 2 inclusions of type II_1 factors in terms of actions of weak Kac algebras and weak C*-Hopf algebras. If N\subset M \subset M_1 \subset M_2 \subset ... is the Jones tower constructed from such an inclusion N\subset M, then B=M^\prime \cap M_2 has a natural structure of a weak C*-Hopf algebra and there is a minimal action of B on M_1 such that M is the fixed point subalgebra of M_1, and M_2 is isomorphic to the crossed product of M_1 and B. This extends the well-known results for irreducible depth 2 inclusions. | |
| dc.description | Latex, 26 pages, more precise statements of Theorems 4.17 and 5.7 given, several minor errors corrected | |
| dc.identifier | https://arxiv.org/abs/math/9810028 | |
| dc.identifier | http://arxiv.org/abs/math/9810028 | |
| dc.identifier | J. Func. Analysis, 171 (2000), no.2, 278-307 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77504 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Operator Algebras | |
| dc.title | A characterization of depth 2 subfactors of II_1 factors | |
| dc.type | text |