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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…
math.OA2013★ 102 cited
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…