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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.10 No.2

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STABLE RANK OF TWISTED CROSSED PRODUCTS OFC？-ALGEBRAS BY ABELIAN GROUPS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2003, v.10 no.2, pp.103-118
Sudo, Takahiro
Sudo,, T. (2003). STABLE RANK OF TWISTED CROSSED PRODUCTS OFC？-ALGEBRAS BY ABELIAN GROUPS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 10(2), 103-118.

Abstract

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

keywords
stable rank, twisted crossed products, crossed products, solvable groups

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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