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An isomorphism between group C *‐algebras of ax + b ‐like groups
Author(s) -
Lin YingFen,
Ludwig Jean
Publication year - 2013
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bds085
Subject(s) - mathematics , isomorphism (crystallography) , group (periodic table) , pure mathematics , combinatorics , algebra over a field , chemistry , crystal structure , crystallography , organic chemistry
We give a necessary and sufficient condition for two ax + b ‐like groups to have isomorphic C *‐algebras. In particular, we show that there are many non‐isomorphic ax + b ‐like Lie groups having isomorphic group C *‐algebras.
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