A new relative notion of mean equicontinuity for factor maps between amenable group actions is introduced, characterized, and used to prove unique decompositions into topo-isomorphic and equicontinuous factors under minimality or weak mean equicontinuity.
Proceedings of the confere nce, Bonn, Germany, May 1–July 31, 2004, Providence, RI: American Math emat- ical Society (AMS), 2005, pp
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Mean equicontinuous factor maps
A new relative notion of mean equicontinuity for factor maps between amenable group actions is introduced, characterized, and used to prove unique decompositions into topo-isomorphic and equicontinuous factors under minimality or weak mean equicontinuity.