Abstract
We study certain q-deformed analogues of the maximal abelian subalgebras of the group von Neumann algebras of free groups. The radial subalgebra is defined for Hecke deformed von Neumann algebras of the Coxeter group (Z=2Z)k and shown to be a maximal abelian subalgebra which is singular and with Pukanszky invariant [∞]. Further all nonequal generator masas in the q-deformed Gaussian von Neumann algebras are shown to be mutually nonintertwinable.
| Original language | English |
|---|---|
| Pages (from-to) | 1-21 |
| Number of pages | 21 |
| Journal | Pacific Journal of Mathematics |
| Volume | 302 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Sept 2019 |
Funding
Caspers received funding from the European Union's Horizon 2020 research and innovation programme through grant agreement No. 702139. Skalski was partially supported by the National Science Centre (NCN) grant No. 2014/14/E/ST1/00525. Wasilewski was partially supported by the National Science Centre (NCN) grant No. 2016/21/N/ST1/02499. The work on the paper was started during Caspers's visit to IMPAN in January 2017, partially funded by the Warsaw Centre of Mathematics and Computer Science. We thank the referee for helpful comments.
Keywords
- Hecke von neumann algebra
- Maximal abelian subalgebras
- Q-Gaussian algebras
- Singular masas