Nonstable $K$--theory for extension algebras of the simple purely infinite $C^*$--algebra by certain $C^{*}$--algebras

Details Nonstable $K$--theory for extension algebras of the simple purely infinite $C^*$--algebra by certain $C^{*}$--algebras Nonstable $K$--theory for extension algebras of the simple purely infinite $C^*$--algebra by certain $C^{*}$--algebras

2010-06-29

arxiv.org/abs/1006.5725v1

Mathematics

Operator Algebras

7 pages, Chinese Math. Annal (Chinese) (accepted)

Scientific paper

Let $0\longrightarrow \B\stackrel{j}{\longrightarrow}E\stackrel{\pi}{\longrightarrow}\A\longrightarrow 0$ be an extension of $\A$ by $\B$, where $\A$ is a unital simple purely infinite $C^{*}$--algebra. When $\B$ is a simple separable essential ideal of the unital $C^{*}$--algebra $E$ with $\RR(\B)=0$ and {\rm(PC)}, $K_{0}(E)=\{[p]\mid p$ is a projection in $E\setminus B\}$; When $B$ is a stable $C^{*}$--algebra, $\U(C(X,E))/\U_0(C(X,E))\cong K_1(C(X,E))$ for any compact Hausdorff space $X$.

Affiliated with

Also associated with

No associations

Rating

Nonstable $K$--theory for extension algebras of the simple purely infinite $C^*$--algebra by certain $C^{*}$--algebras 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 Nonstable $K$--theory for extension algebras of the simple purely infinite $C^*$--algebra by certain $C^{*}$--algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonstable $K$--theory for extension algebras of the simple purely infinite $C^*$--algebra by certain $C^{*}$--algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-153135