한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제10권2호
  • /
  • Pages.103-118
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  • 2003
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지

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)
  • 발행 : 2003.05.01
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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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