The structure of the Hopf cyclic (co)homology of algebras of smooth functions

DOI10.1134/S0001434615030281zbMath1338.58005MaRDI QIDQ2352610

I. M. Nikonov, Georgy I. Sharygin

Publication date: 3 July 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

equivariant cohomologyalgebras of smooth functions on manifoldsHopf algebras of functionsHopf cyclic cohomology with coefficientsHopf cyclic complexHopf cyclic homology with coefficients

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Equivariant homology and cohomology in algebraic topology (55N91) Noncommutative geometry (à la Connes) (58B34) Hopf algebras and their applications (16T05)

Cites Work

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• Hopf algebras, cyclic cohomology and the transverse index theorem
• Equivariant-bivariant Chern character for profinite groups
• Hopf-cyclic homology and cohomology with coefficients.
• Bialgebra cyclic homology with coefficients.
• Equivariant cyclic homology and equivariant differential forms
• Cyclic cohomology of Hopf algebras

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