Cyclic homology of Brzeziński's crossed products and of braided Hopf crossed products.

DOI10.1016/j.aim.2012.09.006zbMath1282.16013arXiv1107.0951OpenAlexW2021867439MaRDI QIDQ1759385

Graciela Carboni, Christian Valqui, Juan José Guccione, Jorge Alberto Guccione

Publication date: 20 November 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0951

zbMATH Keywords

Hochschild cohomologycyclic homologyHochschild homologymixed complexesspectral sequencessmash productsbraided Hopf algebrasBrzeziński crossed products

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Spectral sequences, hypercohomology (18G40) Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05)

Related Items

(Co)homology of crossed products by weak Hopf algebras ⋮ The periodic cyclic homology of crossed products of finite type algebras ⋮ Cleft extensions of weak Hopf algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group cohomology and the cyclic cohomology of crossed products
• Relative Hochschild cohomology, rigid algebras, and the Bockstein
• Hochschild (co)homology of Hopf crossed products
• Cyclic homology, comodules, and mixed complexes
• Theory of braided Hopf crossed products
• Hochschild homology of twisted tensor products
• Cyclic homology of Hopf crossed products.
• Cyclic Homology of Strong Smash Product Algebras
• Crossed Products and Inner Actions of Hopf Algebras
• Crossed products by a coalgebra
• Hopf algebra equivariant cyclic homology and cyclic homology of crossed product algebras
• Quantum groups and deformation quantization: Explicit approaches and implicit aspects
• HOPF–CYCLIC HOMOLOGY AND RELATIVE CYCLIC HOMOLOGY OF HOPF–GALOIS EXTENSIONS
• Cohomology of Group Extensions
• Cross product bialgebras. II