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

      Changguo Wei

      Volume 120 Issue 1 February 2010 pp 97-104

    • Fulltext

       

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      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

       

      Changguo Wei1

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

    • Dates

       
      Published
      February 2010
      Manuscript received
      8 November 2008
      Manuscript revised
      16 March 2009

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