2 citations · 2 across the 2 of their papers we have counts for
5 papers
Amenability and comparison for étale groupoids with polynomial growth
Are Austad, Christian Bönicke
We show that any second-countable locally compact Hausdorff étale groupoid with polynomial growth is topologically amenable. If moreover the groupoid is compactly generated with co…
A note on crossed products of rotation algebras
Christian Bönicke, Sayan Chakraborty, Zhuofeng He +1
We compute the -theory of crossed products of rotation algebras , for any real angle , by matrices in with infinite order. Using te…
-theory and homotopies of twists on ample groupoids
Christian Bönicke
This paper investigates the -theory of twisted groupoid -algebras. It is shown that a homotopy of twists on an ample groupoid satisfying the Baum-Connes c…
Going-Down functors and the Künneth formula for crossed products by étale groupoids
Christian Bönicke, Clément Dell'Aiera
We study the connection between the Baum-Connes conjecture for an ample groupoid with coefficient and the Künneth formula for the K-theory of tensor products by the crossed…
A Going-Down principle for ample groupoids and the Baum-Connes conjecture
Christian Bönicke
We study a Going-Down (or restriction) principle for ample groupoids and its applications. The Going-Down principle for locally compact groups was developed by Chabert, Echterhoff…