On masas in q-deformed von neumann algebras
Publication date
2019-09
Authors
Caspers, Martijn
Skalski, Adam
Wasilewski, Mateusz
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Advisors
Supervisors
Document Type
Article
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taverne
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.
Keywords
Hecke von neumann algebra, Maximal abelian subalgebras, Q-Gaussian algebras, Singular masas, Taverne, General Mathematics
Citation
Caspers, M, Skalski, A & Wasilewski, M 2019, 'On masas in q-deformed von neumann algebras', Pacific Journal of Mathematics, vol. 302, no. 1, pp. 1-21. https://doi.org/10.2140/pjm.2019.302.1