Ergodic averages of unimodular amenable group actions along mild Følner subsequences are dominated by those of a constructed integer-action Markov operator, transferring ergodic theorems from Z to the group setting.
On individual ergodic theorems for semifi- nite von Neumann algebras
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Ergodic Average Dominance for Unimodular Amenable Groups
Ergodic averages of unimodular amenable group actions along mild Følner subsequences are dominated by those of a constructed integer-action Markov operator, transferring ergodic theorems from Z to the group setting.