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q-Index on braided non-commutative spheres

D. Gurevich·R. Leclercq·P. Saponov
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Abstract

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.

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D. Gurevich, R. Leclercq, P. Saponov. 2003-07-02. q-Index on braided non-commutative spheres. https://arxiv.org/abs/math/0207268

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