Von Neumann equivalence and group exactness

DOI10.1016/J.JFA.2022.109786arXiv2202.13872MaRDI QIDQ6392344

Publication date: 28 February 2022

Abstract: We will show that the group exactness is a von Neumann equivalence invariant. This result generalizes the previously known fact stating that the group exactness is invariant under measure equivalence and W*-equivalence.

Mathematics Subject Classification ID

Geometric group theory (20F65) General theory of von Neumann algebras (46L10) Measures on groups and semigroups, etc. (43A05) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25)

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