Banach strong Novikov conjecture for polynomially contractible groups

DOI10.1016/J.AIM.2018.03.006zbMath1436.20077arXiv1702.02269OpenAlexW2962792025WikidataQ123289644 ScholiaQ123289644MaRDI QIDQ1644962

Alexander Engel

Publication date: 22 June 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02269

zbMATH Keywords

strong Novikov conjectureDehn functionsproperty (RD)

Mathematics Subject Classification ID

Geometric group theory (20F65) (K)-theory and operator algebras (including cyclic theory) (46L80) Topological methods in group theory (57M07) Homological methods in group theory (20J05)

Related Items (7)

Polynomially weighted \(\ell^p\)-completions and group homology ⋮ Expanders are counterexamples to the \(\ell^p\) coarse Baum-Connes conjecture ⋮ Coronas for properly combable spaces ⋮ Dynamical complexity and K-theory of Lp operator crossed products ⋮ Bounds for the rank of the finite part of operator \(K\)-theory ⋮ On the Hochschild homology of \(\ell^1\)-rapid decay group algebras ⋮ Rough index theory on spaces of polynomial growth and contractibility

Cites Work

• Unnamed Item
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• Geometry and rigidity of mapping class groups.
• The Novikov conjecture for algebraic K-theory of the group algebra over the ring of Schatten class operators
• K-theory of reduced \(C^*\)-algebras and rapidly decreasing functions on groups
• Asymptotically CAT(0) groups.
• Artin groups of finite type are biautomatic
• Simplicial nonpositive curvature
• The cyclic homology of the group rings
• An index theorem on open manifolds. I. II
• A finiteness property and an automatic structure for Coxeter groups
• Finiteness conditions on groups and quasi-isometries
• The geometry of cube complexes and the complexity of their fundamental groups
• Fredholm theory and finite section method for band-dominated operators
• Higher connectedness of asymptotic cones.
• Combings of groups and the grammar of reparameterization.
• The coarse Baum-Connes conjecture and groupoids
• Polynomially bounded cohomology and discrete groups
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• The isocohomological property, higher Dehn functions, and relatively hyperbolic groups.
• Comparison between algebraic and topological \(K\)-theory of locally convex algebras
• Regular path systems and (bi)automatic groups.
• DETECTING $K$-THEORY BY CYCLIC HOMOLOGY
• COMBABLE GROUPS HAVE GROUP COHOMOLOGY OF POLYNOMIAL GROWTH
• Rapidly Decreasing Functions in Reduced C ∗ -Algebras of Groups
• A SHORT PROOF THAT M_n(A) IS LOCAL IF A IS LOCAL AND FRÉCHET
• Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
• The rapid decay property and centroids in groups
• Operator ideals and assembly maps in 𝐾-theory
• Mapping class groups are automatic

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