The Hochschild Cohomology of Uniform Roe Algebras

Explore the intricacies of Hochschild cohomology in uniform Roe algebras through this 39-minute conference talk by Matthew Lorentz at the Fields Institute. Delve into the findings from Lorentz and Rufus Willett's paper on bounded derivations, and examine the conditions for vanishing Hochschild cohomology groups. Investigate the relationship between norm continuous and ultraweak-weak* continuous Hochschild cohomology in uniform Roe algebras. Cover topics such as bounded geometry, multilinear maps, co-boundary operators, and weakly continuous maps in this comprehensive exploration of cyclic cohomology.

Introduction
Goal
Bounded Geometry
Uniform Row Algebra
Multilinear Maps
Bound Co Boundary Operators
Hochschild chromology
Multimodular maps
Background
Map kn
Obstacle
Properties
Proof
Bounded derivations
Weekly continuous maps