• Homomorphisms between $C^\ast$-Algebra Extensions

• # Fulltext

Permanent link:
https://www.ias.ac.in/article/fulltext/pmsc/120/01/0097-0104

• # Keywords

$C^∗$-algebra; extension; homomorphism.

• # Abstract

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.

• # Author Affiliations

1. School of Mathematical Sciences, Ocean University of China, Qingdao 266071, People’s Republic of China

• # Proceedings – Mathematical Sciences

Volume 131, 2021
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Posted on July 25, 2019

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