Distinguishing C*-algebras by their unitary groups

We obtain partial affirmative answers to the question of whether the isomorphism of the unitary groups of two C*-algebras, either as topological groups or as discrete groups, implies the isomorphism of the C*-algebras as real C*-algebras.

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Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2024-08-23
DOI
https://doi.org/10.1090/proc/16895
Citations
1
Primary Topic
Advanced Operator Algebra Research
Type
article
Field-Weighted Citation Impact
0.89

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article

Distinguishing C*-algebras by their unitary groups

Leonel Robert, Lionel Fogang Takoutsing
1 citations
Proceedings of the American Mathematical Society
Advanced Operator Algebra Research
0.89
article

Distinguishing C*-algebras by their unitary groups

Leonel Robert, Lionel Fogang Takoutsing
article en
1 citations

Abstract

We obtain partial affirmative answers to the question of whether the isomorphism of the unitary groups of two C*-algebras, either as topological groups or as discrete groups, implies the isomorphism of the C*-algebras as real C*-algebras.

Proceedings of the American Mathematical SocietyVol. 152(10)
University of Louisiana at Lafayette (US)
Simons Foundation
Reduced inequalities
Openalex Percentile: Top 30%
Advanced Operator Algebra Research
0.89
DOISourceOpenAlex
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Distinguishing C*-algebras by their unitary groups — Leonel Robert, Lionel Fogang Takoutsing · Proceedings of the American Mathematical Society (2024) | TGRS Research Map | TGRS