On masas in q-deformed von neumann algebras

Journal article (2019)

Authors

M.P.T. Caspers Universiteit Utrecht, Analysis - EEMCS
Adam Skalski Polish Academy of Sciences
Mateusz Wasilewski Katholieke Universiteit Leuven, Polish Academy of Sciences
Research Group
Analysis (EEMCS) (TU Delft)
Hecke von neumann algebra Maximal abelian subalgebras Q-Gaussian algebras Singular masas
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Published Date

2019

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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.

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