A smooth version of Johnson’s problem on derivations of group algebras

DOI10.1070/SM9119zbMath1439.16041arXiv1801.03480OpenAlexW3102303398MaRDI QIDQ5231118

No author found.

Publication date: 29 August 2019

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

Full work available at URL: https://arxiv.org/abs/1801.03480

zbMATH Keywords

Cayley complex

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Derivations, actions of Lie algebras (16W25)

Related Items (15)

Derivations of Group Algebras and Hochschild Cohomology ⋮ Derivation problem for quandle algebras ⋮ Geometric description of the Hochschild cohomology of group algebras ⋮ Derivation algebra in noncommutative group algebras ⋮ Correlation between the Hochschild cohomology and the Eilenberg-Mac Lane cohomology of group algebras from a geometric point of view ⋮ A categorical approach to the study of derivations in group algebras ⋮ Differential calculi in group algebras and group ends ⋮ Differential calculuses on group algebras ⋮ Hochschild cohomology of some finite category algebras as simplicial cohomology ⋮ Derivations in group algebras and combinatorial invariants of groups ⋮ On \((\sigma, \tau)\)-derivations of group algebra as category characters ⋮ DERIVATIONS IN SEMIGROUP ALGEBRAS ⋮ Derivations of group rings for finite and FC groups ⋮ Complex of \(n\)-categories and derivations in group algebras ⋮ Combinatorial description of derivations in group algebras

Cites Work

• K-theory of reduced \(C^*\)-algebras and rapidly decreasing functions on groups
• Non-commutative differential geometry
• On a conjecture of Kaplansky
• Operads and motives in deformation quantization
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• The Hochschild cohomology of a closed manifold
• The derivation problem for group algebras
• The cohomology structure of an associative ring
• Derivations of operator algebras
• Derivations of \(W^ *\)-algebras
• Derivations of simple \(C^ *\)-algebras
• The Derivation Problem for Group Algebras of Connected Locally Compact Groups
• Rapidly Decreasing Functions in Reduced C ∗ -Algebras of Groups
• Derivations of Operator Group Algebras
• Continuity of Derivations and a Problem of Kaplansky
• Derivations of Operator Algebras and Discrete Group Algebras
• Cohomology in Banach algebras
• Modules Over Operator Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A smooth version of Johnson’s problem on derivations of group algebras