Shintaro Nishikawa

activity

20162026

most citedGroups with Spanier-Whitehead duality

12 citations · 22 across the 12 of their papers we have counts for

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4 papers · 1 filter

math.OA2022

$K$ -theory of non-commutative Bernoulli Shifts

Sayan Chakraborty, Siegfried Echterhoff, Julian Kranz +1

For a large class of C*-algebras $A$ , we calculate the $K$ -theory of reduced crossed products $A^{\otimes G} ⋊_{r} G$ of Bernoulli shifts by groups satisfying the Baum--Connes co…

math.OA2022

Equivariant $K K$ -theory of Bernoulli shifts on $C^{*}$ -algebras with approximately inner flip

Julian Kranz, Shintaro Nishikawa

Building on Enders--Schemeitat--Tikuisis' classification, we show that a separable $C^{*}$ -algebra $A$ with approximately inner flip in the UCT class is $K$ -theoretically self-absorb…

math.OA2018★ 1 cited

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…

math.OA2016★ 1 cited

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- $T$ -menable groups. We will mostly and essentially follow the argument employed by N.…

K-theory of non-commutative Bernoulli Shifts

Equivariant KK-theory of Bernoulli shifts on C∗-algebras with approximately inner flip

Direct Splitting Method for the Baum-Connes Conjecture

On the Lifting of the Dirac Elements in the Higson-Kasparov Theorem

$K$ -theory of non-commutative Bernoulli Shifts

Equivariant $K K$ -theory of Bernoulli shifts on $C^{*}$ -algebras with approximately inner flip