R. Willett

activity

20062026

most citedExpanders, exact crossed products, and the Baum-Connes conjecture

63 citations · 280 across the 35 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.OA2021★ 14 cited

Uniform Roe algebras of uniformly locally finite metric spaces are rigid

Florent P. Baudier, Bruno de Mendonça Braga, Ilijas Farah +3

We show that if $X$ and $Y$ are uniformly locally finite metric spaces whose uniform Roe algebras, $\cstu(X)$ and $\cstu(Y)$, are isomorphic as \cstar-algebras, then $X$ and $Y$ ar…

math.OA2021

The UCT for $C^{*}$ -algebras with finite complexity

Rufus Willett, Guoliang Yu

A $C^{*}$ -algebra satisfies the Universal Coefficient Theorem (UCT) of Rosenberg and Schochet if it is equivalent in Kasparov's $K K$ -theory to a commutative $C^{*}$ -algebra. This paper…

math.OA2021

Dynamic asymptotic dimension and Matui's HK conjecture

Christian Bönicke, Clément Dell'Aiera, James Gabe +1

We prove that the homology groups of a principal ample groupoid vanish in dimensions greater than the dynamic asymptotic dimension of the groupoid (as a side-effect of our methods,…

Uniform Roe algebras of uniformly locally finite metric spaces are rigid

The UCT for C∗-algebras with finite complexity

Dynamic asymptotic dimension and Matui's HK conjecture

The UCT for $C^{*}$ -algebras with finite complexity