Geodesic
INNER AMENABLE GROUPOIDS AND CENTRAL SEQUENCES
Forum of Mathematics, Sigma, Tome 8 (2020)

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We introduce inner amenability for discrete probability-measure-preserving (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 action of an inner amenable group gives rise to an inner amenable orbit equivalence relation. We also obtain an analogous result for compact extensions of equivalence relations that either are stable or have a nontrivial central sequence in their full group. 
@article{10_1017_fms_2020_15,
     author = {YOSHIKATA KIDA and ROBIN TUCKER-DROB},
     title = {INNER {AMENABLE} {GROUPOIDS} {AND} {CENTRAL} {SEQUENCES}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {8},
     year = {2020},
     doi = {10.1017/fms.2020.15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2020.15/}
}
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YOSHIKATA KIDA; ROBIN TUCKER-DROB. INNER AMENABLE GROUPOIDS AND CENTRAL SEQUENCES. Forum of Mathematics, Sigma, Tome 8 (2020). doi: 10.1017/fms.2020.15

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