45 citations · 107 across the 17 of their papers we have counts for
4 papers · 1 filter
Group approximation in Cayley topology and coarse geometry, Part III: Geometric property (T)
Masato Mimura, Narutaka Ozawa, Hiroki Sako +1
In this series of papers, we study correspondence between the following: (1) large scale structure of the metric space bigsqcup_m {Cay(G(m))} consisting of Cayley graphs of finite…
Finite-dimensional approximation properties for uniform Roe algebras
Hiroki Sako
We study property A for metric spaces with bounded geometry introduced by Guoliang Yu. Property A is an amenability-type condition, which is less restrictive than amenability f…
A generalization of expander graphs and local reflexivity of uniform Roe algebras
Hiroki Sako
We introduce a generalization of expander graphs, which is called a weak expander sequence. It is proved that a uniform Roe algebra of a weak expander sequence is not locally refle…
Concrete Classification and Centralizers of Certain -actions
Hiroki Sako
We introduce a new class of actions of the group $\G$ on finite von Neumann algebras and call them twisted Bernoulli shift actions. We classify these actions up to conjugacy and gi…