. We then provide a complete description of the cocycles and the coboundaries in this theory using entwined traces applied to dg-entwining structures over

(A,C,ψ)

. We then apply these descriptions to construct a pairing

H^m_λ(A,C,ψ) \otimes H^n_λ(A',C',ψ') \longrightarrow H^{m+n}_λ(A \otimes A', C \otimes C', ψ\otimes ψ')

, where

(A,C,ψ)

and

(A',C',ψ')

are entwining structures.

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Weak comp algebras and cup products in secondary Hochschild cohomology of entwining structures

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Pairings in Hopf-cyclic cohomology of algebras and coalgebras with coefficients

I. Nikonov, G. Sharygin

K-Theory and Homology Quantum Algebra

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On the cohomology of a Galois entwining

Mariano Suarez-Alvarez

Quantum Algebra K-Theory and Homology

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Cohomology theories for homotopy algebras and noncommutative geometry

Alastair Hamilton, Andrey Lazarev

Quantum Algebra Algebraic Geometry K-Theory and Homology

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Simple double Lie algebras on the Laurent polynomial space

Vsevolod Gubarev

Rings and Algebras

Nearby in the stack

Cyclic cohomology of entwining structures

Claims

Methods

Limitations

Nearby in the stack

The cohomology structure of an algebra entwined with a coalgebra

Weak comp algebras and cup products in secondary Hochschild cohomology of entwining structures

Pairings in Hopf-cyclic cohomology of algebras and coalgebras with coefficients

On the cohomology of a Galois entwining

Cohomology theories for homotopy algebras and noncommutative geometry

Simple double Lie algebras on the Laurent polynomial space

The cohomology structure of an algebra entwined with a coalgebra

Weak comp algebras and cup products in secondary Hochschild cohomology of entwining structures

Pairings in Hopf-cyclic cohomology of algebras and coalgebras with coefficients

On the cohomology of a Galois entwining

Cohomology theories for homotopy algebras and noncommutative geometry

Simple double Lie algebras on the Laurent polynomial space