100 citations · 364 across the 34 of their papers we have counts for
34 papers
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…
Long exact sequences of homology groups of étale groupoids
Hiroki Matui
When a pair of étale groupoids and on totally disconnected spaces are related in some way, we discuss the difference of their homology groups. More spe…
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…