Structure of group C*-algebras of the generalized disconnected Mautner groups Original Research Article

We construct finite composition series of group C*-algebras of the generalized disconnected Mautner groups such that their subquotients are tensor products of commutative C*-algebras and extensions by AH-algebras. As applications, we consider the real cases of the generalized disconnected Mautner groups, and estimate the stable rank and connected stable rank of these group C*-algebras.