12 citations · 22 across the 12 of their papers we have counts for
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math.KT2019
Proper Kasparov Cycles and the Baum-Connes Conjecture
Shintaro Nishikawa
We introduce the notion of proper Kasparov cycles for Kasparov's G-equivariant KK-theory for a general locally compact, second countable topological group G. We show that for any p…
math.KT2019★ 2 cited
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…
math.KT2019★ 12 cited
Groups with Spanier-Whitehead duality
Shintaro Nishikawa, Valerio Proietti
Building on work by Kasparov, we study the notion of Spanier-Whitehead K-duality for a discrete group. It is defined as duality in the KK-category between two C*-algebras which are…