Shintaro Nishikawa

collaborators

3 papers

math.KT2025

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…

math.OA2025

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.KT2025

Bernoulli shifts on additive categories and algebraic $K$ -theory of wreath products

Julian Kranz, Shintaro Nishikawa

We develop general methods to compute the algebraic $K$ -theory of crossed products by Bernoulli shifts on additive categories. From this we obtain a $K$ -theory formula for regular…

Dehn fillings, equivariant homology, and the Baum-Connes conjecture

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

Bernoulli shifts on additive categories and algebraic K-theory of wreath products

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

Bernoulli shifts on additive categories and algebraic $K$ -theory of wreath products