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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department Of Mathematical Sciences, Faculty Of Science, University Of The Ryukyus)

Sudo, Takahiro. (2003). STABLE RANK OF TWISTED CROSSED PRODUCTS OF <TEX>$C^{*}-ALGEBRAS$</TEX> BY ABELIAN GROUPS. 한국수학교육학회지시리즈B:순수및응용수학, 10(2), 103-118.

복사

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

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Vol.10 No.2

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

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학