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On masas in
$q$-deformed von Neumann algebras
Martijn Caspers, Adam Skalski and Mateusz Wasilewski |
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Vol. 302 (2019), No. 1, 1–21
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Abstract |
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We study certain -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 and shown to be a maximal abelian subalgebra which is singular and with Pukánszky invariant . Further all nonequal generator masas in the -deformed Gaussian von Neumann algebras are shown to be mutually nonintertwinable. |
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Keywords
maximal abelian subalgebras, singular masas, Hecke von
Neumann algebra, q-Gaussian algebras
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Mathematical Subject Classification 2010
Primary: 46L10
Secondary: 46L65
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Milestones
Received: 10 April 2017
Revised: 17 February 2019
Accepted: 18 February 2019
Published: 5 November 2019
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Authors |
| Martijn Caspers | |
| Mathematisch Instituut Universiteit Utrecht Utrecht The Netherlands |
Delft University of Technology Delft Netherlands |
| Adam Skalski | |
| Institute of Mathematics Polish Academy of Sciences Warszaw Poland |
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| Mateusz Wasilewski | |
| Institute of Mathematics Polish Academy of Sciences Warsaw Poland |
Department of Mathematics Katholieke Universiteit Leuven Leuven Belgium |
