A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids

DOI10.1007/S10485-018-9544-0zbMath1436.18015arXiv1803.09194OpenAlexW2963826994MaRDI QIDQ1732884

Ivan Kobyzev, Ilya L. Shapiro

Publication date: 25 March 2019

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09194

zbMATH Keywords

monoidal categoriesHopf algebrascyclic homologyHopf algebroidsquasi-Hopf algebrascontramodules

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Preadditive, additive categories (18E05) Hopf algebras and their applications (16T05) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (7)

Anti-Yetter-Drinfeld modules for quasi-Hopf algebras ⋮ Centres, trace functors, and cyclic cohomology ⋮ Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology ⋮ Monoidal Categories, 2-Traces, and Cyclic Cohomology ⋮ Invariance properties of cyclic cohomology with coefficients ⋮ On the anti-Yetter-Drinfeld module-contramodule correspondence ⋮ Generalized Taft algebras and pairs in involution

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