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Dimension theory of group C*-algebras of connected Lie groups of type I

Dimension theory of group C*-algebras of connected Lie groups of type I

In this paper we determine isomorphism classes of connected solvable Lie groups with some conditions such that their group C*-algebras have stable rank one, and give its applications. Also, we show that stable rank of group C*-algebras of connected Lie groups of type I is estimated in terms of their …