A tiling property for actions of amenable groups along Tempelman Følner sequences
Volume 72 / 2024
Bulletin Polish Acad. Sci. Math. 72 (2024), 7-16
MSC: Primary 03E15; Secondary 37A30
DOI: 10.4064/ba230330-26-2
Published online: 27 March 2024
Abstract
We show that a certain tiling property (which directly implies the pointwise ergodic theorem) holds for pmp actions of amenable groups along increasing Tempelman Følner sequences, thus providing a short and combinatorial proof of the corresponding pointwise ergodic theorem.
