Group approximation in Cayley topology and coarse geometry Part I: Coarse embeddings of amenable groups

DOI10.1142/S1793525320500089zbMath1479.20032arXiv1310.4736OpenAlexW2963662988WikidataQ128163355 ScholiaQ128163355MaRDI QIDQ4997967

Hiroki Sako, Masato Mimura

Publication date: 1 July 2021

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4736

zbMATH Keywords

amenabilitycoarse embeddingsspace of marked groupsproperty a

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69)

Related Items (1)

Sofic boundaries of groups and coarse geometry of sofic approximations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A quasi-isometric embedding theorem for groups.
• Cantor systems, piecewise translations and simple amenable groups
• Coarse non-amenability and coarse embeddings
• Fibred coarse embedding into non-positively curved manifolds and higher index problem
• On strong property (T) and fixed point properties for Lie groups
• \(L_p\) compression, traveling salesmen, and stable walks.
• Amenable groups with very poor compression into Lebesgue spaces
• Large scale geometry
• On the isolated points in the space of groups.
• Diameters of Cayley graphs of Chevalley groups
• A reinforcement of property (T)
• Discrete groups, expanding graphs and invariant measures. With an appendix by Jonathan D. Rogawski
• On a question of M. Newman on the number of commutators
• Endomorphisms of symbolic algebraic varieties
• Random walk in random groups.
• Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders
• Sofic boundaries of groups and coarse geometry of sofic approximations
• Residually finite non-exact groups
• Groups of oscillating intermediate growth.
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Speed of random walks, isoperimetry and compression of finitely generated groups
• Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings
• Group approximation in Cayley topology and coarse geometry. III: Geometric property (T)
• Property \((T)\) and rigidity for actions on Banach spaces
• The Novikov conjecture for linear groups
• Isometric group actions on Hilbert spaces: growth of cocycles
• Uniform Kazhdan constant for some families of linear groups.
• Boundary amenability of relatively hyperbolic groups.
• Hölder estimates for the noncommutative Mazur maps
• Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
• Characterization of the Haagerup property by fibred coarse embedding into Hilbert space
• On algebraic properties of topological full groups
• PROPERTY A AND GRAPHS WITH LARGE GIRTH
• Residual Properties of Infinite Soluble Groups
• SOME REMARKS ON TOPOLOGICAL FULL GROUPS OF CANTOR MINIMAL SYSTEMS
• Compression functions of uniform embeddings of groups into Hilbert and Banach spaces
• PROPRIÉTÉ (T) RENFORCÉE BANACHIQUE ET TRANSFORMATION DE FOURIER RAPIDE
• Amenable group actions and the Novikov conjecture
• Coarse fundamental groups and box spaces
• Amenability versus non‐exactness of dense subgroups of a compact group
• Combinatorial cost: A coarse setting
• Infinitely presented small cancellation groups have the Haagerup property
• L ^p -distortion and p -spectral gap of finite graphs
• Property A, partial translation structures, and uniform embeddings in groups
• Sphere Equivalence, Banach Expanders, and Extrapolation
• Bounded generation and Kazhdan's property (T)
• Groups with the Haagerup property. Gromov's a-T-menability
• Ordering the space of finitely generated groups

This page was built for publication: Group approximation in Cayley topology and coarse geometry Part I: Coarse embeddings of amenable groups