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

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

2006-02-27

arxiv.org/abs/math/0602598v1

Mathematics

Operator Algebras

7pages

Scientific paper

Let $1 \in A \subset B$ 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 $\alpha$ an action of a
finite group $G$ on $\Aut(A)$, $\tsr(A \rtimes_\alpha G) \leq 2$.

Affiliated with

Also associated with

No associations

Rating

Stable rank of inclusion of C*-algebras of depth 2 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stable rank of inclusion of C*-algebras of depth 2, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stable rank of inclusion of C*-algebras of depth 2 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-485826