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Hecke von Neumann Algebra of Ergodic Discrete Measured Equivalence Relations

Hecke von Neumann Algebra of Ergodic Discrete Measured Equivalence Relations

We generalize the notion of a Hecke pair of groups to the case of an inclusion of ergodic discrete measured equivalence relations. A key ingredient in defining this new concept is a commensurability subrelation introduced and discussed in [3]. As in the group case, with each such Hecke pair, we …