## Journal of Mathematics of Kyoto University

### Structure of group $C^*$-algebras of the generalized Mautner groups

Takahiro Sudo

#### Abstract

We construct finite composition series of group $C^{*}$-algebras of the generalized Mautner groups whose subquotients are tensor products of commutative $C^{*}$-algebras, noncommutative tori and the $C^{*}$-algebra of compact operators. As an application, we estimate the stable rank and connected stable rank of the $C^{*}$-algebras of generalized real Mautner groups.

#### Article information

Source
J. Math. Kyoto Univ., Volume 42, Number 2 (2002), 393-402.

Dates
First available in Project Euclid: 14 August 2009

https://projecteuclid.org/euclid.kjm/1250283877

Digital Object Identifier
doi:10.1215/kjm/1250283877

Mathematical Reviews number (MathSciNet)
MR1966844

Zentralblatt MATH identifier
1059.22005

#### Citation

Sudo, Takahiro. Structure of group $C^*$-algebras of the generalized Mautner groups. J. Math. Kyoto Univ. 42 (2002), no. 2, 393--402. doi:10.1215/kjm/1250283877. https://projecteuclid.org/euclid.kjm/1250283877