Amenability and acyclicity in bounded cohomology

DOI10.4171/rmi/1406arXiv2105.02821MaRDI QIDQ6118211

Marco Moraschini, Georgios Raptis

Publication date: 23 February 2024

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.02821

zbMATH Keywords

bounded cohomologyamenable groupsacyclic moduleshomotopy fibersboundedly acyclic groups

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Singular homology and cohomology theory (55N10) Other (co)homology theories (category-theoretic aspects) (18G90)

Related Items

Bounded cohomology of classifying spaces for families of subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relative amenability
• A derived functor approach to bounded cohomology
• Algebraic topology
• Volume and bounded cohomology
• Acyclic maps
• Bounded cohomology of lattices in higher rank Lie groups
• Introductory notes on Richard Thompson's groups
• A remark on 'homotopy fibrations'
• Continuous bounded cohomology and applications to rigidity theory
• Left exactness of the functor \(H_b^n(-,\mathbb{R})\) of real bounded cohomology
• Some characterizations of acyclic maps
• A note on bounded-cohomological dimension of discrete groups
• Vanishing up to the rank in bounded cohomology
• Lamplighters and the bounded cohomology of Thompson's group
• On the algebraic foundations of bounded cohomology
• ON CLOSED LEAVES OF FOLIATIONS, MULTISECTIONS AND STABLE COMMUTATOR LENGTHS
• Bounded Cohomology of Certain Groups of Homeomorphisms
• On the bounded cohomology of semi-simple groups, S-arithmetic groups and products
• Bounded Cohomology of Discrete Groups
• The Bounded Cohomology of SL$_{\textbf{2}}$ Over Local Fields and $\boldsymbol{S}$-Integers
• Cohomology in Banach algebras
• Gromov’s Theory of Multicomplexes with Applications to Bounded Cohomology and Simplicial Volume
• Continuous bounded cohomology of locally compact groups
• Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups
• BOUNDED COHOMOLOGY AND BINATE GROUPS
• Second bounded cohomology of groups acting on 1-manifolds and applications to spectrum problems