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math.OA2026
-selflessness of groups of homeomorphisms
Ryoya Arimoto
We prove that -simple groups which admit a faithful extreme boundary are -selfless. More precisely, we establish complete selflessness of the canonical…
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.OA2023
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…