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Letters in Mathematical Physics

, Volume 28, Issue 4, pp 251–255 | Cite as

A quantum-group-like structure on noncommutative 2-tori

  • Andreas Cap
  • Peter W. Michor
  • Hermann Schichl
Article

Abstract

We show that on noncommutative 2-tori, there are natural structures which have analogous formal properties as Hopf algebra structures, but where the comultiplication has values in a deformation of the tensor product.

Mathematics Subject Classifications (1991)

16W30 46L87 58B30 81R50 

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Reference

  1. 1.
    Bellisard, J., Ordinary quantum Hall effect and non-commutative cohomology,Proc. of Localization of Disordered Systems, Bad Schandau 1986, Teubner Publ., Leipzig, 1988, pp. 61–74.Google Scholar

Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Andreas Cap
    • 1
  • Peter W. Michor
    • 1
  • Hermann Schichl
    • 1
  1. 1.Institut für MathematikUniversität WienWienAustria

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