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

Sudo, Takahiro; Sudo, Takahiro

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P-ISSN3059-0604
E-ISSN3059-1309
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ISSN : 3059-0604

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Vol.10 No.2

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

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

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, 10(2), 103-118.

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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.

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

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논문 상세

Vol.10 No.2

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

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학