102 citations · 102 across the 4 of their papers we have counts for
7 papers
Maximal subgroups of topological full groups of shifts of finite type
Hiroki Matui
We study maximal subgroups of topological full groups of irreducible one-sided shifts of finite type whose associated groupoids have Cantor unit space. For each wide open subgroupo…
Entropy/Length Profile Bounds for the Conversion of (Non)linear Codes in the Merge Regime
Songping Ge, Han Cai, Xiaohu Tang
Code conversion changes the parameters of encoded data while avoiding complete decoding and re-encoding. Existing general bounds largely rely on the algebraic structure of linear c…
Maximal subgroups of topological full groups arising from factor maps and subgroupoids
Hiroki Matui
We construct maximal subgroups of topological full groups and their commutator subgroups using factor maps and wide open subgroupoids of minimal effective ample groupoids with Cant…
Topological entropy in continuous orbit equivalence of one-sided topological Markov shifts
Kengo Matsumoto, Hiroki Matui
In this paper, we prove that the continuous orbit equivalence class of a one-sided topological Markov shift contains a one-sided topological Markov shift whose topological entropy…
Classifying Stein's groups
Hiroki Matui
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 piecewis…
Cup and cap products for cohomology and homology groups of ample groupoids
Hiroki Matui, Takehiko Mori
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 groupoid…
Continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras
Kengo Matsumoto, Hiroki Matui
Let A,B be square irreducible matrices with entries in {0,1}. We will show that if the one-sided topological Markov shifts (X_A,σ_A) and (X_B,σ_B) are continuously orbit equivalent…