Structure of group $C^*$-algebras of the generalized Mautner groups
Sudo, Takahiro
J. Math. Kyoto Univ., Tome 42 (2002) no. 4, p. 393-402 / Harvested from Project Euclid
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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.
Publié le : 2002-05-15
Classification:  22D25,  46L05 
@article{1250283877,
     author = {Sudo, Takahiro},
     title = {Structure of group $C^*$-algebras of the generalized Mautner groups},
     journal = {J. Math. Kyoto Univ.},
     volume = {42},
     number = {4},
     year = {2002},
     pages = { 393-402},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250283877}
}

Sudo, Takahiro. Structure of group $C^*$-algebras of the generalized Mautner groups. J. Math. Kyoto Univ., Tome 42 (2002) no. 4, pp.  393-402. http://gdmltest.u-ga.fr/item/1250283877/