Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735392 | Journal of Geometry and Physics | 2005 | 29 Pages |
Abstract
To some 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 standard pairing Ind :K0(A)ÃK0(A)âZ called a non-commutative index. Unlike the standard non-commutative index, our q-analog 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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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
D. Gurevich, R. Leclercq, P. Saponov,