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INNER AMENABLE GROUPOIDS AND CENTRAL SEQUENCES

INNER AMENABLE GROUPOIDS AND CENTRAL SEQUENCES

We introduce inner amenability for discrete p.m.p. groupoids and investigate its basic properties, examples, and the connection with central sequences in the full group of the groupoid or central sequences in the von Neumann algebra associated with the groupoid. Among other things, we show that every free ergodic p.m.p. compact …