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The Structure of Group $C^βˆ—$-algebras of the Generalized Dixmier Groups

The Structure of Group $C^βˆ—$-algebras of the Generalized Dixmier Groups

In this paper we first analyze the algebraic structure of group C^βˆ— -algebras of the generalized Dixmier groups, and next consider that of group C^βˆ— -algebras of some Lie semi-direct products with multi-diagonal or diagonal actions. As an application, we estimate the stable rank and the connected stable rank of …