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math.GR2024
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…
math.KT2024
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…