Ryo Toyota

most citedQuantum Gromov-Hausdorff convergence of spectral truncations for groups with polynomial growth

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.OA2026

Warped cones associated to isometric free actions do not have geometric property (T)

Ryo Toyota

Suppose that $G$ is a finitely generated group, $M$ is a compact Riemannian manifold and $G ↷ M$ is a free and isometric action. We prove that the associated discreti…

math.OA2023★ 1 cited

Quantum Gromov-Hausdorff convergence of spectral truncations for groups with polynomial growth

Ryo Toyota

For a unital spectral triple $(A, H, D)$ , we study when its truncation converges to itself. The spectral truncation is obtained by using the spectral projection $P_{Λ}$ of $…

math.OA2023

Geometric Property (T) and Positive Cones of Real Algebraic Roe Algebras

Ryo Toyota

We give a characterization of geometric property (T) for a coarse disjoint union of finite graphs with bounded degree using the idea of noncommutative real algebraic geometry. In t…