Bounded cohomology of classifying spaces for families of subgroups
arXiv:2105.05223 · doi:10.2140/agt.2023.23.933
Abstract
We introduce a bounded version of Bredon cohomology for groups relative to a family of subgroups. Our theory generalizes bounded cohomology and differs from Mineyev--Yaman's relative bounded cohomology for pairs. We obtain cohomological characterizations of relative amenability and relative hyperbolicity, analogous to the results of Johnson and Mineyev for bounded cohomology.
arXiv commentv2: 20 pages, added Theorem 4.5, incorporated Section 6 into Section 4
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