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Generalized
$q$-gaussian von Neumann algebras with coefficients, I:
Relative strong solidity
Marius Junge and Bogdan Udrea |
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Vol. 12 (2019), No. 7, 1643–1709
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Abstract |
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We define , the generalized -gaussian von Neumann algebras associated to a sequence of symmetric independent copies and to a subset and, under certain assumptions, prove their strong solidity relative to . We provide many examples of strongly solid generalized -gaussian von Neumann algebras. We also obtain nonisomorphism and nonembedability results about some of these von Neumann algebras. |
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Keywords
von Neumann algebras, q-gaussian von Neumann algebras with
coefficients, relative strong solidity
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Mathematical Subject Classification 2010
Primary: 46L10
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Milestones
Received: 10 October 2017
Revised: 20 July 2018
Accepted: 16 September 2018
Published: 22 July 2019
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Authors |
| Marius Junge | |
| Department of Mathematics University of Illinois Urbana, IL United States |
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| Bogdan Udrea | |
| Institute of Mathematics of the
Romanian Academy Bucharest Romania |
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