On the hochschild cohomology of crossed products

DOI10.1080/00927879308824703zbMath0783.16007OpenAlexW1980299643MaRDI QIDQ5287615

Katsunori Sanada

Publication date: 17 August 1993

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879308824703

zbMATH Keywords

cohomology groupsexistencespectral sequenceuniquenesscentergroup of unitsHochschild cohomology groupscrossed productfinite groupcup product

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Spectral sequences, hypercohomology (18G40) Twisted and skew group rings, crossed products (16S35)

Related Items (13)

Finite generation of cohomology for Drinfeld doubles of finite group schemes ⋮ Hochschild Cohomology Ring of the Integral Group Ring of the Semidihedral 2-Group ⋮ A Poincaré-Birkhoff-Witt theorem for quadratic algebras with group actions ⋮ The Hochschild cohomology ring of the singular cochain algebra of a space. ⋮ Hochschild Cohomology Ring of an Order of a Simple Component of the Rational Group Ring of the Generalized Quaternion Group ⋮ The multiplicative structure on Hochschild cohomology of a complete intersection ⋮ On Hochschild cohomology ring and integral cohomology ring for the semidihedral group ⋮ Spectral sequences à la Hochschild-Serre for crossed products of algebras and of groups ⋮ Products in Hochschild cohomology and Grothendieck rings of group crossed products. ⋮ Homology of fully graded algebras, Morita and derived equivalences ⋮ Hochschild Cohomology Ring of the Mod-2 Group Ring of the Generalized Quaternion Group ⋮ Hochschild (Co)homology of Exterior Algebras ⋮ Spectral sequences for the cohomology rings of a smash product.

Cites Work

• Unnamed Item
• Cyclic homology of K[\({\mathbb{Z}}/p\cdot {\mathbb{Z}}\)]
• On the cohomology of Frobenius algebras
• On the cohomology of Frobenius algebras. II: Crossed products
• On the cohomology groups of an associative algebra

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