A categorical approach to cyclic duality.

DOI10.4171/JNCG/98zbMath1346.16003arXiv0910.4622MaRDI QIDQ446422

Dragoş Ştefan, Böhm, Gabriella

Publication date: 6 September 2012

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4622

zbMATH Keywords

coalgebras2-categoriescomonadsmonadsdistributive lawscyclic dualityHopf bialgebroidspara-cocyclic objectspara-cyclic objects

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Smash products of general Hopf actions (16S40) Eilenberg-Moore and Kleisli constructions for monads (18C20) Coalgebras and comodules; corings (16T15)

Related Items (6)

Factorisations of distributive laws ⋮ When Ext is a Batalin-Vilkovisky algebra ⋮ Monoidal Categories, 2-Traces, and Cyclic Cohomology ⋮ A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids ⋮ Invariance properties of cyclic cohomology with coefficients ⋮ New coefficients for Hopf Cyclic Cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monads and comonads on module categories
• The universal Hopf-cyclic theory.
• (Co)cyclic (co)homology of bialgebroids: An approach via (co)monads
• Groups of algebras over \(A\otimes \bar A\)
• Bialgebras over noncommutative rings and a structure theorem for Hopf bimodules
• Hopf algebras, cyclic cohomology and the transverse index theorem
• Bialgebroid actions on depth two extensions and duality.
• Bialgebroids, \(\times_A\)-bialgebras and duality
• Hopf-cyclic homology and cohomology with coefficients.
• The formal theory of monads
• Bialgebra cyclic homology with coefficients.
• Hopf-cyclic homology with contramodule coefficients
• Hopf Algebroids
• Adjoint Lifting Theorems for Categories of Algebras
• A NOTE ON CYCLIC DUALITY AND HOPF ALGEBRAS
• HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
• Foundations of relative homological algebra
• HOPF–CYCLIC HOMOLOGY AND RELATIVE CYCLIC HOMOLOGY OF HOPF–GALOIS EXTENSIONS

This page was built for publication: A categorical approach to cyclic duality.