Mathematics > Dynamical Systems
arXiv:2510.13309 (math)
[Submitted on 15 Oct 2025 (v1), last revised 18 Jun 2026 (this version, v2)]
Abstract: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 Neumann algebras are not full. This also yields a non-embedding result for the Thompson groups.
Submission history
From: Ryoya Arimoto [view email]
[v1]
Wed, 15 Oct 2025 08:56:42 UTC (12 KB)
[v2]
Thu, 18 Jun 2026 05:48:39 UTC (11 KB)
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