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Quasi-Piecewise-Koszul Modules |
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| Authors: | Jia-Feng Lü Yuan Pan |
| Institution: | 1. Institute of Mathematics , Zhejiang Normal University , Jinhua , Zhejiang , P.R. China;2. Yiwu Industrial and Commercial College , Yiwu , Zhejiang , P.R. China |
| Abstract: | In this article we first study an equivariant cyclic cohomology for weak H-module agebras over a weak Hopf algebra H with a bijective antipode. Then we define an equivariant K-theory for weak quantum Yetter–Drinfeld algebras over H and establish a generalized Connes' pairing between the equivariant cyclic cohomology and the equivariant K-theory. As an application we consider our theory for groupoids. |
| Keywords: | Minimal horseshoe lemma Piecewise-Koszul modules Quasi-piecewise-Koszul modules |