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Invariants for normal completely positive maps on the hyperfinite II1 factor

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Abstract

We investigate certain classes of normal completely positive (CP) maps on the hyperfinite II1 factorA. Using the representation theory of a suitable irrational rotation algebra, we propose some computable invariants for such CP maps.

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Authors and Affiliations

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

    Debashish Goswami & Lingaraj Sahu

Authors
  1. Debashish Goswami
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  2. Lingaraj Sahu
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Correspondence to Debashish Goswami.

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Dedicated to Professor K B Sinha

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Goswami, D., Sahu, L. Invariants for normal completely positive maps on the hyperfinite II1 factor. Proc. Indian Acad. Sci. (Math. Sci.) 116, 411–422 (2006). https://doi.org/10.1007/BF02829699

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