12 citations · 22 across the 12 of their papers we have counts for
13 papers
Well-tempered symmetric spaces
Alexandre Afgoustidis, Peter Hochs, Shintaro Nishikawa +1
Let be a real reductive symmetric space. We consider the support of the Plancherel measure for the regular representation of on , and its Fell topology. We firs…
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…
-theory of non-commutative Bernoulli Shifts
Sayan Chakraborty, Siegfried Echterhoff, Julian Kranz +1
For a large class of C*-algebras , we calculate the -theory of reduced crossed products of Bernoulli shifts by groups satisfying the Baum--Connes co…
Equivariant -theory of Bernoulli shifts on -algebras with approximately inner flip
Julian Kranz, Shintaro Nishikawa
Building on Enders--Schemeitat--Tikuisis' classification, we show that a separable -algebra with approximately inner flip in the UCT class is -theoretically self-absorb…
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…
Slow exponential growth representations of Sp(n, 1) at the edge of Cowling's strip
Pierre Julg, Shintaro Nishikawa
We obtain a slow exponential growth estimate for the spherical principal series representation rho_s of Lie group Sp(n, 1) at the edge (Re(s)=1) of Cowling's strip (|Re(s)|<1) on t…
Sp(n,1) admits a proper 1-cocycle for a uniformly bounded representation
Shintaro Nishikawa
We verify Shalom's conjecture for the simple real-rank-one Lie group Sp(n ,1) for any n: i.e. we show that it admits a metrically proper affine action on a Hilbert space whose line…
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…
Direct Splitting Method for the Baum-Connes Conjecture
Shintaro Nishikawa
We introduce a new method for studying the Baum-Connes conjecture, which we call the direct splitting method. The method can simplify and clarify proofs of some of the known cases…
On the Lifting of the Dirac Elements in the Higson-Kasparov Theorem
Shintaro Nishikawa
In this thesis, we investigate the proof of the Baum-Connes Conjecture with Coefficients for a--menable groups. We will mostly and essentially follow the argument employed by N.…