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Distinguishing C*-algebras by their unitary groups.

Authors :
Takoutsing, Lionel Fogang
Robert, Leonel
Source :
Proceedings of the American Mathematical Society; Oct2024, Vol. 152 Issue 10, p4301-4310, 10p
Publication Year :
2024

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
152
Issue :
10
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
179509225
Full Text :
https://doi.org/10.1090/proc/16895