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Full Solution of the Factoriality Question for q-Araki-Woods von Neumann Algebras Via Conjugate Variables.
- Source :
-
Communications in Mathematical Physics . Aug2023, Vol. 401 Issue 3, p157-167. 11p. - Publication Year :
- 2023
-
Abstract
- We establish factoriality of q-Araki-Woods von Neumann algebras (with the number of generators at least two) in full generality, exploiting the approach via conjugate variables developed recently in the tracial case by Akihiro Miyagawa and Roland Speicher, and abstract results of Brent Nelson. We also establish non-injectivity and determine the type of the factors in question. The factors are solid and full when the number of generators is finite. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VON Neumann algebras
Subjects
Details
- Language :
- English
- ISSN :
- 00103616
- Volume :
- 401
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Communications in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 164982421
- Full Text :
- https://doi.org/10.1007/s00220-023-04734-5