Equivariant noncommutative index on braided sphere
نویسندگان
چکیده
To some Hecke symmetries (i.e. Yang-Baxter braidings of Hecke type) we associate ”noncommutative varieties” called braided spheres. An example of such a variety is the Podles’ nonstandard quantum sphere. On any braided sphere we introduce and compute an ”equivariant” analogue of Connes’ noncommutative index. In contrast with the Connes’ construction our version of equivariant NC index is based on the so-called categorical trace and is better adapted to the algebras related to braided categories. AMS Mathematics Subject Classification, 1991 : 17B37, 81R50
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