An isomorphism between group C*-algebras of ax plus b-like groups

作者:Lin Ying Fen*; Ludwig Jean
来源:Bulletin of the London Mathematical Society, 2013, 45: 257-267.
DOI:10.1112/blms/bds085

摘要

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.