STABLE RANK OF TWISTED CROSSED PRODUCTS OF $C^{*}-ALGEBRAS$ BY ABELIAN GROUPS

  • Sudo, Takahiro (Department Of Mathematical Sciences, Faculty Of Science, University Of The Ryukyus)
  • Published : 2003.05.01

Abstract

We estimate the stable rank of twisted crossed products of $C^{*}-algebras$ by topological Abelian groups. As an application we estimate the stable rank of twisted crossed products of $C^{*}-algebras$ by solvable Lie groups. In particular, we obtain the stable rank estimate of twisted group $C^{*}-algebras$ of solvable Lie groups by the (reduced) dimension and (generalized) rank of groups.

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