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math.KT2018★ 2 cited
The Higson-Roe sequence for étale groupoids II. The universal sequence for equivariant families
Moulay-Tahar Benameur, Indrava Roy
This is the second part of our series about the Higson-Roe sequence for étale groupoids. We devote this part to the proof of the universal -theory surgery exact sequence which e…
math.KT2018
The Higson-Roe sequence for étale groupoids. I. Dual algebras and compatibility with the BC map
Moulay-Tahar Benameur, Indrava Roy
We introduce the dual Roe algebras for proper étale groupoid actions and deduce the expected Higson-Roe short exact sequence. When the action is cocompact, we show that the Roe $C^…