Dynamic characterizations of quasi-isometry and applications to cohomology

DOI10.2140/agt.2018.18.3477zbMath1503.20008arXiv1604.07375OpenAlexW2593805167WikidataQ129047775 ScholiaQ129047775MaRDI QIDQ1631705

Xin Li

Publication date: 6 December 2018

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07375

zbMATH Keywords

group cohomologycohomological dimensionquasi-isometrygeometric group theoryPoincaré duality groupcontinuous orbit equivalence

Mathematics Subject Classification ID

Topological dynamics (37B99) Geometric group theory (20F65) Cohomology of groups (20J06) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (14)

Continuous cocycle superrigidity for coinduced actions and relative ends ⋮ On continuous orbit equivalence rigidity for virtually cyclic group actions ⋮ A dichotomy for topological full groups ⋮ Inductive limits of noncommutative Cartan inclusions ⋮ Constructing C*-diagonals in AH-algebras ⋮ Cartan subalgebras and the UCT problem. II ⋮ Convex subshifts, separated Bratteli diagrams, and ideal structure of tame separated graph algebras ⋮ Continuous orbit equivalence rigidity for left-right wreath product actions ⋮ Every classifiable simple C\(^*\)-algebra has a Cartan subalgebra ⋮ Cartan subalgebras in C*-algebras. Existence and uniqueness ⋮ CARTAN SUBALGEBRAS IN DIMENSION DROP ALGEBRAS ⋮ Poincaré profiles of Lie groups and a coarse geometric dichotomy ⋮ Cohomology groups invariant under continuous orbit equivalence ⋮ Coarse spaces, ultrafilters and dynamical systems

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