2 citations · 4 across the 6 of their papers we have counts for
6 papers
A short proof of affability for certain Cantor minimal -systems
Hiroki Matui
We will show that any extension of a product of two Cantor minimal -systems is affable in the sense of Giordano, Putnam and Skau.
Affability of equivalence relations arising from two-dimensional substitution tilings
Hiroki Matui
We will show that an equivalence relation on a Cantor set arising from a two-dimensional substitution tiling by polygons is affable in the sense of Giordano, Putnam and Skau.
Minimal dynamical systems on the product of the Cantor set and the circle II
Huaxin Lin, Hiroki Matui
Let be the Cantor set and be a minimal homeomorphism on $X\times\T$. We show that the crossed product -algebra $C^*(X\times\T,ϕ)$ is a simple $A\T$-algebra provided th…
Approximate conjugacy and full groups of Cantor minimal systems
Hiroki Matui
H. Lin and the author introduced the notion of approximate conjugacy of dynamical systems. In this paper, we will discuss the relationship between approximate conjugacy and full gr…
Some remarks on topological full groups of Cantor minimal systems
Hiroki Matui
Giordano, Putnam and Skau showed that topological full groups of Cantor minimal systems are complete invariants for flip conjugacy. We will completely determine the structure of no…
Minimal Dynamical Systems and Approximate Conjugacy
Huaxin Lin, Hiroki Matui
Several versions of approximate conjugacy for minimal dynamical systems are introduced. Relation between approximate conjugacy and corresponding crossed product -algebras is d…