On Hochschild cohomology of uniform Roe algebras with coefficients in uniform Roe bimodules

DOI10.1007/S13324-022-00688-4zbMath1497.46079arXiv2201.06488OpenAlexW4280526886MaRDI QIDQ2144410

Vladimir M. Manuilov

Publication date: 13 June 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.06488

zbMATH Keywords

Hochschild cohomologyinner derivationouter derivationuniform Roe algebrasuniform Roe bimodules

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Cites Work

• Unnamed Item
• Metrics on doubles as an inverse semigroup. II
• Bounded derivations on uniform Roe algebras
• Roe bimodules as morphisms of discrete metric spaces
• Representations, automorphisms, and derivations of some operator algebras
• Hochschild Cohomology for Algebras
• Coarse cohomology and index theory on complete Riemannian manifolds
• Modules Over Operator Algebras

This page was built for publication: On Hochschild cohomology of uniform Roe algebras with coefficients in uniform Roe bimodules