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1
Introduction
2
Goal
3
Bounded Geometry
4
Uniform Row Algebra
5
Multilinear Maps
6
Bound Co Boundary Operators
7
Hochschild chromology
8
Multimodular maps
9
Background
10
Map kn
11
Obstacle
12
Properties
13
Proof
14
Bounded derivations
15
Weekly continuous maps
Description:
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.

The Hochschild Cohomology of Uniform Roe Algebras

Fields Institute
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