2014/12/03 by Cho-Ho Chu, Xin Li, Chu, Cho-Ho +1
Computer Science · Mathematics · #22A22 #43A05 #45E10 #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Geometric and Algebraic Topology #Group Theory (math.GR) #Primary 20L05 #Probability (math.PR) #Secondary 20M30 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1412.1517
openalex publication_date 2014/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the Liouville property and Reiter's condition are equivalent for semigroupoids. This result applies to semigroups as well as semigroup actions. In the special case of measured groupoids and locally compact groupoids, our result proves Kaimanovich's conjecture of the equivalence of amenability and the Liouville property.