63 citations · 280 across the 35 of their papers we have counts for
42 papers
A secondary pairing between K-theory and K-homology, relative eta invariants, and zeta maps
Rufus Willett
The -homology groups of a -algebra are receptacles for information from topology, operator algebra theory, and representation theory. For applications, one often wants to k…
The Local Lifting Property, Property FD, and stability of approximate representations
Francesco Fournier-Facio, Rufus Willett
We establish Kirchberg's Local Lifting Property and Lubotzky--Shalom's Property FD for classes of finitely generated groups of central importance in geometric and combinatorial gro…
A trace pairing and Elliott invariant for groupoid homology
Robin Deeley, Rufus Willett
For an étale groupoid, we define a pairing between the Crainic-Moerdijk groupoid homology and the simplex of invariant Borel probability measures on the base space. The main novelt…
Conditional representation stability, classification of -homomorphisms, and relative eta invariants
Rufus Willett
A quasi-representation of a group is a map from the group into a matrix algebra (or similar object) that approximately satisfies the relations needed to be a representation. Work o…
The rational HK-conjecture: transformation groupoids and a revised version
Robin J. Deeley, Rufus Willett
We prove the rational HK-conjecture for a large class of transformation groupoids in the case when the relevant action has torsion-free stabilizers. A revised version of the ration…
Coarse equivalence versus bijective coarse equivalence of expander graphs
Florent Baudier, Bruno de Mendonça Braga, Ilijas Farah +2
We provide a characterization of when a coarse equivalence between coarse disjoint unions of expander graphs is close to a bijective coarse equivalence. We use this to show that if…