naa a22 4500 510783198 CHVBK 20180411083254.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s11856-012-0071-7 doi (NATIONALLICENCE)springer-10.1007/s11856-012-0071-7 On a co-induction question of Kechris [Elektronische Daten] [Lewis Bowen, Robin Tucker-Drob] 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 b G is the induced action of G, then CInd H G (a|H) × b G 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 H G (a|H) weakly contains a whenever a is a Gaussian action. Hebrew University Magnes Press, 2012 Bowen Lewis Department of Mathematics, Mailstop 3368, Texas A&M University, 77843-3368, College Station, TX, USA aut Tucker-Drob Robin Department of Mathematics 253-37, California Institute of Technology, 91125, Pasadena, CA, USA aut Israel Journal of Mathematics The Hebrew University Magnes Press 194/1(2013-03-01), 209-224 0021-2172 194:1<209 2013 194 11856 https://doi.org/10.1007/s11856-012-0071-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0071-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bowen Lewis Department of Mathematics, Mailstop 3368, Texas A&M University, 77843-3368, College Station, TX, USA aut NATIONALLICENCE 700 1- Tucker-Drob Robin Department of Mathematics 253-37, California Institute of Technology, 91125, Pasadena, CA, USA aut NATIONALLICENCE 773 0- Israel Journal of Mathematics The Hebrew University Magnes Press 194/1(2013-03-01), 209-224 0021-2172 194:1<209 2013 194 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer