Zobrazeno 1 - 10
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pro vyhledávání: '"Matui, Hiroki"'
Autor:
Matui, Hiroki
In this paper, we provide a comprehensive classification of Stein's groups, which generalize the well-known Higman-Thompson groups. Stein's groups are defined as groups of piecewise linear bijections of an interval with finitely many breakpoints and
Externí odkaz:
http://arxiv.org/abs/2412.05492
Autor:
Matui, Hiroki, Mori, Takehiko
This paper explores the cup and cap products within the cohomology and homology groups of ample groupoids, focusing on their applications and fundamental properties. Ample groupoids, which are \'etale groupoids with a totally disconnected unit space,
Externí odkaz:
http://arxiv.org/abs/2411.14906
Autor:
Matui, Hiroki
When a pair of \'etale groupoids $\mathcal{G}$ and $\mathcal{G}'$ on totally disconnected spaces are related in some way, we discuss the difference of their homology groups. More specifically, we treat two basic situations. In the subgroupoid situati
Externí odkaz:
http://arxiv.org/abs/2111.04013
Autor:
Izumi, Masaki, Matui, Hiroki
This is the second part of our serial work on the classification of poly-$\mathbb{Z}$ group actions on Kirchberg algebras. Based on technical results obtained in our previous work, we completely reduce the problem to the classification of continuous
Externí odkaz:
http://arxiv.org/abs/1906.03818
Autor:
Izumi, Masaki, Matui, Hiroki
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 the loop group of the automorphism group of the stabilization. This r
Externí odkaz:
http://arxiv.org/abs/1810.05849
Autor:
Izumi, Masaki, Matui, Hiroki
Toward the complete classification of poly-$\mathbb{Z}$ group actions on Kirchberg algebras, we prove several fundamental theorems that are used in the classification. In addition, as an application of them, we classify outer actions of poly-$\mathbb
Externí odkaz:
http://arxiv.org/abs/1810.05850
Autor:
Matui, Hiroki
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 of countable discrete groups, equivalence relations. Minimal Z-actions
Externí odkaz:
http://arxiv.org/abs/1602.00383
Autor:
Matui, Hiroki
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 of etale groupoids including products of etale groupoids arising from
Externí odkaz:
http://arxiv.org/abs/1512.01724
Autor:
Matsumoto, Kengo, Matui, Hiroki
In this paper, we will study presentations of the continuous full group $\Gamma_A$ of a one-sided topological Markov shift $(X_A,\sigma_A)$ for an irreducible matrix $A$ with entries in $\{0,1\}$ as a generalization of Higman-Thompson groups $V_N, 1<
Externí odkaz:
http://arxiv.org/abs/1409.4838
Autor:
Matsumoto, Kengo, Matui, Hiroki
Publikováno v:
Ergod. Th. Dynam. Sys. 36 (2016) 1557-1581
For continuously orbit equivalent one-sided topological Markov shifts $(X_A,\sigma_A)$ and $(X_B,\sigma_B)$, their eventually periodic points and cocycle functions are studied. As a result we directly construct an isomorphism between their ordered co
Externí odkaz:
http://arxiv.org/abs/1403.0719