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Non-isomorphism of A ∗ n,2≤ n ≤∞, for a non-separable abelian von Neumann algebra A

Abstract:
We prove that if A is a non-separable abelian tracial von Neuman algebra then its free powers A∗n,2≤n≤∞, are mutually non-isomorphic and with trivial fundamental group, , whenever 2≤n<∞. This settles the non-separable version of the free group factor problem.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00039-024-00669-8

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
Springer
Journal:
Geometric And Functional Analysis More from this journal
Volume:
34
Issue:
2
Pages:
393-408
Publication date:
2024-02-14
Acceptance date:
2023-10-13
DOI:
EISSN:
1420-8970
ISSN:
1016-443X


Language:
English
Pubs id:
1666275
Local pid:
pubs:1666275
Source identifiers:
1816745
Deposit date:
2024-05-30
ARK identifier:
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