Homomorphisms between $C^*$-Algebra Extensions

Proceedings Mathematical Sciences

Changguo Wei¹ 

[1] School of Mathematical Sciences, Ocean University of China, Qingdao 0, People’s Republic of China$$

关键词: $C^∗$-algebra;    extension;    homomorphism.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper we consider the question when a homomorphism between two extension algebras preserves the essential ideal in the corresponding extension. Some conditions of two essential extensions being isomorphic are given. We also describe the relationship between the induced extensions and the Kasparov products and give the completely positive liftings of the induced extensions.

【 授权许可】

Unknown