q-Index on braided non-commutative spheres

نویسندگان

  • D. Gurevich
  • R. Leclercq
چکیده

To some Hecke symmetries (i.e. Yang-Baxter braidings of Hecke type) we assign algebras called braided non-commutative spheres. For any such algebra, we introduce and compute a q-analog of the Chern-Connes index. Unlike the standard Chern-Connes index, ours is based on the so-called categorical trace specific for a braided category in which the algebra in question is represented. AMS Mathematics Subject Classification, 1991: 17B37, 81R50

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تاریخ انتشار 2008