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    • On Equivariant Embedding of Hilbert $C^\ast$ Modules

      Debashish Goswami

      Volume 119 Issue 1 February 2009 pp 63-70

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/119/01/0063-0070

    • Keywords

       

      Hilbert modules; ergodic action; equivariant triviality; equivariant embedding.

    • Abstract

       

      We prove that an arbitrary (not necessarily countably generated) Hilbert $G-\mathcal{A}$ module on a $G-C^∗$ algebra $\mathcal{A}$ admits an equivariant embedding into a trivial $G-\mathcal{A}$ module, provided 𝐺 is a compact Lie group and its action on $\mathcal{A}$ is ergodic.

    • Author Affiliations

       

      Debashish Goswami1

      1. Stat-Math Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata 700 108, India

    • Dates

       
      Published
      February 2009
      Manuscript received
      24 October 2007
      Manuscript revised
      11 March 2008

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