Journal article

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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APA Style

Boutonnet, R., Drimbe, D., Ioana, A., & Popa, S. (2024). Non-isomorphism of A ∗ n,2≤ n ≤∞, for a non-separable abelian von Neumann algebra A. Geometric And Functional Analysis, 34(2), 393–408.

MLA Style

Boutonnet, R., et al. “Non-Isomorphism of A ∗ n,2≤ n ≤∞, for a Non-Separable Abelian Von Neumann Algebra A.” Geometric And Functional Analysis, vol. 34, no. 2, Springer, 2024, pp. 393–408.

Chicago Style

Boutonnet, R, D Drimbe, A Ioana, and S Popa. 2024. “Non-Isomorphism of A ∗ n,2≤ n ≤∞, for a Non-Separable Abelian Von Neumann Algebra A.” Geometric And Functional Analysis 34 (2): 393–408.
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Files:: Boutonnet_et_al_2024_Non-isomorphism_of_A.pdf

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

Authors

+ Boutonnet, R More by this author

Role:: Author

+ Drimbe, D More by this author

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

+ Ioana, A More by this author

Role:: Author

+ Popa, S More by this author

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:: 10.1007/s00039-024-00669-8
EISSN:: 1420-8970
ISSN:: 1016-443X

Language:: English
Source identifiers:: 1816745
Deposit date:: 2024-05-30

Terms of use

Copyright date:: 2024

Licence:: CC Attribution (CC BY)

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