Note on Kasparov Product of $C^*$-algebra Extensions

Canadian mathematical bulletin

Changguo Wei¹ 

[1] School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, China

关键词: extension;    Kasparov product;    $KK$-group;   

DOI  :  10.4153/CMB-2012-001-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Using the Dadarlat isomorphism, we give a characterization for theKasparov product of $C^*$-algebra extensions. A certain relationbetween $KK(A, mathcal q(B))$ and $KK(A, mathcal q(mathcal k B))$ is also considered when$B$ is not stable and it is proved that $KK(A, mathcal q(B))$ and $KK(A, mathcal q(mathcal k B))$ are not isomorphic in general.

【 授权许可】

Unknown