3 papers
math.DS2026
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…
math.DS2025
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…
math.OA2025
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…