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BOUNDED COHOMOLOGY AND BINATE GROUPS

URN to cite this document:
urn:nbn:de:bvb:355-epub-522986
DOI to cite this document:
10.5283/epub.52298
Fournier-Facio, Francesco ; Löh, Clara ; Moraschini, Marco
Date of publication of this fulltext: 27 May 2022 08:07



Abstract

A group is boundedly acyclic if its bounded cohomology with trivial real coefficients vanishes in all positive degrees. Amenable groups are boundedly acyclic, while the first nonamenable examples are the group of compactly supported homeomorphisms of Rn (Matsumoto–Morita) and mitotic groups (Löh). We prove that binate (alias pseudo-mitotic) groups are boundedly acyclic, which provides a unifying ...

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