Monoidal Categories, 2-Traces, and Cyclic Cohomology

DOI10.4153/CMB-2018-016-4zbMath1443.18009arXiv1602.05441MaRDI QIDQ5377455

Masoud Khalkhali, Mohammad Hassanzadeh, Ilya L. Shapiro

Publication date: 24 May 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05441

zbMATH Keywords

cyclic homologyHopf algebramonoidal categoryabelian and additive category

Mathematics Subject Classification ID

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

Related Items (7)

Anti-Yetter-Drinfeld modules for quasi-Hopf algebras ⋮ Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology ⋮ When Ext is a Batalin-Vilkovisky algebra ⋮ Unnamed Item ⋮ A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids ⋮ Invariance properties of cyclic cohomology with coefficients ⋮ On the anti-Yetter-Drinfeld module-contramodule correspondence

Cites Work

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• Categorified trace for module tensor categories over braided tensor categories
• Shadows and traces in bicategories
• A categorical approach to cyclic duality.
• Duality, trace and transfer
• On tensor categories attached to cells in affine Weyl groups. III.
• Hopf cyclic cohomology in braided monoidal categories
• Quantum double for quasi-Hopf algebras
• Hopf algebras, cyclic cohomology and the transverse index theorem
• Cyclic cohomology and Hopf algebras
• Hopf modules and Yetter-Drinfel'd modules
• Anti-Yetter-Drinfeld modules for quasi-Hopf algebras
• A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids
• Stable anti-Yetter-Drinfeld modules.
• Hopf-cyclic homology and cohomology with coefficients.
• A trace for bimodule categories
• Relative fixed point theory
• Trace theories and localization
• Quantum groups and representations of monoidal categories
• Cyclic Homology with Coefficients
• Traced monoidal categories
• Tensor Categories

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