Every countable group has the nonsingular weak Rokhlin property

Abstract

We prove that for every countable group $\Gamma$, in the space of nonsingular actions by $\Gamma$, there is an action whose orbit under conjugation is dense. This is the nonsingular analogue of the result of Glasner, Thouvenot, and Weiss that every countable group $\Gamma$ is weak Rokhlin, i.e., there is a dense orbit in the space of probability measure preserving $\Gamma$-actions.

arXiv comment5 pages