2 papers
math.OA2025
Dynamical Systems with Bounded Condition and -algebras
Takehiko Mori
In this paper, we study abstract dynamical systems with discrete phase spaces. One example of such a system is induced by the -map on the set of all natural numbers, also…
math.OA2024
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…