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    • Equivalence Relations of $AF$-Algebra Extensions

      Changguo Wei

      Volume 120 Issue 2 April 2010 pp 209-215

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/120/02/0209-0215

    • Keywords

       

      $AF$-algebra; extension; isomorphism.

    • Abstract

       

      In this paper, we consider equivalence relations of $C^∗$-algebra extensions and describe the relationship between the isomorphism equivalence and the unitary equivalence. We also show that a certain group homomorphism is the obstruction for these equivalence relations to be the same.

    • Author Affiliations

       

      Changguo Wei1

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

    • Dates

       
      Published
      April 2010
      Manuscript received
      19 March 2009
      Manuscript revised
      26 June 2009

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