On the Factoriality of q-Deformed Araki-Woods von Neumann Algebras
Abstract
The q-deformed Araki-Woods von Neumann algebras Γq(HR,Ut)″ are factors for all q∈(-1,1) whenever dim(HR)≥3. When dim(HR)=2 they are factors as well for all q so long as the parameter defining (Ut) is 'small' or 1 (trivial) as the case may be.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- March 2023
- DOI:
- 10.1007/s00220-022-04535-2
- arXiv:
- arXiv:2203.06366
- Bibcode:
- 2023CMaPh.398..797B
- Keywords:
-
- Mathematics - Operator Algebras;
- Primary 46L10;
- Secondary 46L65;
- 46L55
- E-Print:
- 25 pages