100 citations · 364 across the 34 of their papers we have counts for
21 papers · 1 filter
HK and GL
Hiroki Matui
We study the HK conjecture and the gap-labelling problem for transformation groupoids associated with free actions of poly- groups on Cantor sets. The main tool is a comparison…
Poly- group actions on Kirchberg algebras II
Masaki Izumi, Hiroki Matui
This is the second part of our serial work on the classification of poly- group actions on Kirchberg algebras. Based on technical results obtained in our previous work,…
Poly- group actions on Kirchberg algebras I
Masaki Izumi, Hiroki Matui
Toward the complete classification of poly- group actions on Kirchberg algebras, we prove several fundamental theorems that are used in the classification. In addition,…
A weak homotopy equivalence type result related to Kirchberg algebras
Masaki Izumi, Hiroki Matui
We obtain a weak homotopy equivalence type result between two topological groups associated with a Kirchberg algebra: the unitary group of the continuous asymptotic centralizer and…
Topological full groups of etale groupoids
Hiroki Matui
This is a survey of the recent development of the study of topological full groups of etale groupoids on the Cantor set. Etale groupoids arise from dynamical systems, e.g. actions…
Etale groupoids arising from products of shifts of finite type
Hiroki Matui
Two conjectures about homology groups, K-groups and topological full groups of minimal etale groupoids on Cantor sets are formulated. We verify these conjectures for many examples…