Tsuyoshi Kato

collaborators

2 papers

math.AT2026

Homology of the Lie Algebra of Locally Generated Derivations of a Discrete and Proper Metric Space

Nigel Higson, Tsuyoshi Kato

We associate to each proper discrete metric space $X$ a Lie algebra that acts by locally generated derivations on an infinite tensor product of matrix algebras indexed by the point…

math.AT2025

Homotopy type of the unitary group of the uniform Roe algebra on $Z^{n}$

Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya

We study the homotopy type of the space of the unitary group $\U_1(C^\ast_u(|\mathbb{Z}^n|))$ of the uniform Roe algebra $C_{u}^{*} (∣ Z^{n} ∣)$ of $Z^{n}$ . We show that…

Homology of the Lie Algebra of Locally Generated Derivations of a Discrete and Proper Metric Space

Homotopy type of the unitary group of the uniform Roe algebra on Zn

Homotopy type of the unitary group of the uniform Roe algebra on $Z^{n}$