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Aug 9, 2014 at 16:07 comment added Robin Tucker-Drob By the way, there is a nice substitute property for maximal almost periodicity which does hold for all countable FC-groups: namely every countable FC-group has a free ergodic probability measure preserving action with generalized discrete spectrum. (The MAP groups are precisely the groups which admit a free ergodic p.m.p. action with discrete spectrum.)
Aug 7, 2014 at 12:38 vote accept Robin Tucker-Drob
Aug 7, 2014 at 11:40 history answered YCor CC BY-SA 3.0