On a co-induction question of Kechris - Texas A&M University (TAMU) Scholar

This note answers a question of Kechris: if H < G is a normal subgroup of a countable group G, H has property MD and G/H is amenable and residually finite, then G also has property MD. Under the same hypothesis we prove that for any action a of G, if b is a free action of G/H, and bG is the induced action of G, then CIndHG(a{pipe}H) × bG weakly contains a. Moreover, if H < G is any subgroup of a countable group G, and the action of G on G/H is amenable, then CInd HG(a{pipe}H) weakly contains a whenever a is a Gaussian action. © 2012 Hebrew University Magnes Press.

On a co-induction question of Kechris Academic Article