Coronas for properly combable spaces
From MaRDI portal
Publication:6182356
DOI10.1142/s1793525321500643arXiv1711.06836OpenAlexW3215022644MaRDI QIDQ6182356
Alexander Engel, Christopher Wulff
Publication date: 25 January 2024
Published in: Journal of Topology and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.06836
asymptotic dimensioncombingscoronascoarse assembly mapcoarse homology theoriestransgression maps\(\mathcal{Z}\)-boundariesnon-positively curved spaces and groups
Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Lipschitz and coarse geometry of metric spaces (51F30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The coarse Baum-Connes conjecture for Busemann nonpositively curved spaces
- On the dimension of \(\mathcal Z\)-sets
- Central extensions of word hyperbolic groups
- Bi-exact groups, strongly ergodic actions and group measure space type III factors with no central sequence
- Coarse co-assembly as a ring homomorphism
- Artin groups of finite type are biautomatic
- Cohomological approach to asymptotic dimension.
- Boundaries of systolic groups.
- Simplicial nonpositive curvature
- Boundaries of cocompact proper CAT(0) spaces.
- A descent principle for the Dirac--dual-Dirac method
- A comparison of large scale dimension of a metric space to the dimension of its boundary
- Representable K-theory for \(\sigma\)-C\({}^*\)-algebras
- Hyperbolic metric spaces and the exotic cohomology Novikov conjecture
- Generalized homology theories on compact metric spaces
- A finiteness property and an automatic structure for Coxeter groups
- \(C^*\)-algebras and controlled topology
- Continuously controlled algebraic \(K\)-theory of spaces and the Novikov conjecture
- On the Higson corona of uniformly contractible spaces
- The geometry of cube complexes and the complexity of their fundamental groups
- Three-generator Artin groups of large type are biautomatic
- Banach strong Novikov conjecture for polynomially contractible groups
- Polynomially bounded cohomology and discrete groups
- EZ-structures and topological applications
- Solid von Neumann algebras.
- Controlled algebra and the Novikov conjectures for \(K\)- and \(L\)-theory
- Boundary dimension in negatively curved spaces
- Artin groups of extra-large type are biautomatic
- Local homology properties of boundaries of groups
- The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
- Combing Euclidean buildings.
- Boundaries of Baumslag-Solitar groups
- Proper homotopy types and \(\mathcal{Z}\)-boundaries of spaces admitting geometric group actions
- UCT-Kirchberg algebras have nuclear dimension one
- Hierarchically hyperbolic spaces. I: Curve complexes for cubical groups
- Warped cones and property A
- The isocohomological property, higher Dehn functions, and relatively hyperbolic groups.
- Boundaries and automorphisms of hierarchically hyperbolic spaces
- Hierarchically hyperbolic spaces. II: Combination theorems and the distance formula
- Weak \(\mathcal{Z}\)-structures for some classes of groups
- The boundary at infinity of a rough \(\mathrm{CAT}(0)\) space
- Regular path systems and (bi)automatic groups.
- Convex geodesic bicombings and hyperbolicity
- Spaces of the same n-type, for all n
- Visibility manifolds
- Finite-dimensionality of \(\mathcal Z\)-boundaries
- Some theorems on absolute neighborhood retracts
- CANNON–THURSTON MAPS DO NOT ALWAYS EXIST
- INJECTIVE HULLS OF CERTAIN DISCRETE METRIC SPACES AND GROUPS
- Artin groups of large type are shortlex automatic with regular geodesics
- A coarse Mayer–Vietoris principle
- Amenability and exactness for dynamical systems and their 𝐶*-algebras
- COMBABLE GROUPS HAVE GROUP COHOMOLOGY OF POLYNOMIAL GROWTH
- K-THEORY FOR FRÉCHET ALGEBRAS
- The Boundary of Negatively Curved Groups
- BOUNDED COCYCLES AND COMBINGS OF GROUPS
- Cech homology and the Novikov Conjectures for K- and L-Theory
- The boundary of a Busemann space
- Sur les rétractes
- REGULAR COCYCLES AND BIAUTOMATIC STRUCTURES
- Ring and module structures onK-theory of leaf spaces and their application to longitudinal index theory
- Biautomatic structures in systolic Artin groups
- Large‐type Artin groups are systolic
- Ends, Shapes, and Boundaries in Manifold Topology and Geometric Group Theory
- A coarse Cartan–Hadamard theorem with application to the coarse Baum–Connes conjecture
- Homotopy Theory with Bornological Coarse Spaces
- Coarse cohomology and index theory on complete Riemannian manifolds
- Covering Dimension of C*-Algebras and 2-Coloured Classification
- DUALIZING THE COARSE ASSEMBLY MAP
- A Kurosh-type theorem for type II1 factors
- Expanders with respect to Hadamard spaces and random graphs
- Straightening and bounded cohomology of hyperbolic groups
- Mapping class groups are automatic
- Stable cubulations, bicombings, and barycenters
- Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity