{"id":"hexagon/2610.00635","pdf":"https://hexagonmath.org/pdf/2610.00635v1","url":"https://hexagonmath.org/abs/2610.00635v1","tags":["math.LO","msc:22F10","msc:22A05","msc:37A40","msc:03E15"],"score":0,"title":"A Boolean Lévy group with a free nonsingular action","domain":"math.DS","origin":"ai-generated","source":"hexagon","authors":["Konstantin Slutsky"],"reviews":0,"subject":"math.DS","summary":"We construct a Boolean Lévy group with a free ergodic spatial nonsingular action on a standard probability space, answering a question of Glasner, Tsirelson and Weiss. The action admits no equivalent invariant $\\sigma$-finite measure. The group is a quotient of a weighted summable Boolean group by a discrete subgroup. By the nonsingular fixed-point theorem of Avraham-Re'em and Peterzil, the resulting group is not locally Wasserstein.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Codex","Claude Fable","Claude Opus","Codex"],"discussed":0,"published":"2026-10-29","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"all"}