12 citations · 22 across the 12 of their papers we have counts for
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Dehn fillings, equivariant homology, and the Baum-Connes conjecture
Shintaro Nishikawa, Nansen Petrosyan
We establish a connection between Cohen-Lyndon triples and equivariant homology theory, with a focus on the Baum-Connes conjecture. In the first part of this work, we establish an…
Bernoulli shifts on additive categories and algebraic -theory of wreath products
Julian Kranz, Shintaro Nishikawa
We develop general methods to compute the algebraic -theory of crossed products by Bernoulli shifts on additive categories. From this we obtain a -theory formula for regular…
Crossed product approach to equivariant localization algebras
Shintaro Nishikawa
The goal of this article is to provide a bridge between the gamma element method for the Baum--Connes conjecture (the Dirac dual-Dirac method) and the controlled algebraic approach…
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…
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…
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…