3 papers
math.DS2026
Non-strong ergodicity of canonical actions of the Thompson groups
Ryoya Arimoto
We show that the canonical actions of the Thompson group V and its generalizations on the Cantor set are not strongly ergodic. This implies that the associated crossed product von…
math.OA2025
Topological full groups arising from Cuntz and Cuntz-Toeplitz algebras and their crossed products
Ryoya Arimoto, Taro Sogabe
In this paper, we investigate the topological full groups arising from the Cuntz and Cuntz-Toeplitz algebras and their crossed products with the Cartan subalgebras of Cuntz and Cun…
math.OA2024
Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries
Ryoya Arimoto
We prove that if a totally disconnected locally compact group admits a topologically free boundary, then the reduced crossed product of continuous functions on its Furstenberg boun…