Approximate transitivity of the ergodic action of the group of finite permutations of $\mathbb{N}$ on $\{0,1{\}}^{\mathbb{N}}$

B. Mitchell Baker, Thierry Giordano, Radu B. Munteanu

In this paper we show that the natural action of the symmetric group acting on the product space $\{0,1{\}}^{\mathbb{N}}$ endowed with a symmetric measure is approximately transit…