Cup and cap products for cohomology and homology groups of ample
groupoids
Cup and cap products for cohomology and homology groups of ample
groupoids
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 groupoids, which are \'etale groupoids with a totally disconnected unit space, play a crucial role in the study of topological dynamical systems and operator algebras. …