Stable rank of inclusion of C*-algebras of depth 2

dc.creatorOsaka, Hiroyuki
dc.creatorTeruya, Tamotsu
dc.date2006-02-27
dc.date.accessioned2026-07-07T07:03:48Z
dc.date.available2026-07-07T07:03:48Z
dc.descriptionLet $1 \in A \subset B$ be an inclusion of unital C*-algebras of index-finite type and depth 2. Suppose that $A$ is infinite dimensional simple with $tsr(A) = 1$ and SP-property. Then $tsr(B) \leq 2$. As a corollary when $A$ is a simple C*-algebra with $\tsr(A) = 1$ and SP-property and $α$ an action of a finite group $G$ on $\Aut(A)$, $\tsr(A \rtimes_αG) \leq 2$.
dc.description7pages
dc.identifierhttps://arxiv.org/abs/math/0602598
dc.identifierhttp://arxiv.org/abs/math/0602598
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109118
dc.subjectOperator Algebras
dc.subject46L05
dc.titleStable rank of inclusion of C*-algebras of depth 2
dc.typetext

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