63 citations · 98 across the 10 of their papers we have counts for
13 papers
On the Baum-Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces
Jacek Brodzki, Erik Guentner, Nigel Higson +1
We give a new proof of the Baum--Connes conjecture with coefficients for any second countable, locally compact topological group that acts properly and cocompactly on a finite-dime…
A Differential Complex for CAT(0) Cubical Spaces
Jacek Brodzki, Erik Guentner, Nigel Higson
In the 1980's Pierre Julg and Alain Valette, and also Tadeusz Pytlik and Ryszard Szwarc, constructed and studied a certain Fredholm operator associated to a simplicial tree. The op…
Dynamical complexity and controlled operator K-theory
Erik Guentner, Rufus Willett, Guoliang Yu
In this paper, we introduce a property of topological dynamical systems that we call finite dynamical complexity. For systems with this property, one can in principle compute the $…
Dynamic Asymptotic Dimension: relation to dynamics, topology, coarse geometry, and -algebras
Erik Guentner, Rufus Willett, Guoliang Yu
We introduce dynamic asymptotic dimension, a notion of dimension for actions of discrete groups on locally compact spaces, and more generally for locally compact étale groupoids. W…
Expanders, exact crossed products, and the Baum-Connes conjecture
Paul Baum, Erik Guentner, Rufus Willett
We reformulate the Baum-Connes conjecture with coefficients by introducing a new crossed product functor for C*-algebras. All confirming examples for the original Baum-Connes conje…
Coarse non-amenability and coarse embeddings
Goulnara Arzhantseva, Erik Guentner, Jan Spakula
We construct the first example of a coarsely non-amenable (= without Guoliang Yu's property A) metric space with bounded geometry which coarsely embeds into a Hilbert space.