A finite-dimensional approach to the strong Novikov conjecture

DOI10.2140/agt.2013.13.2283zbMath1277.19002arXiv1203.6168OpenAlexW2071458987WikidataQ122875770 ScholiaQ122875770MaRDI QIDQ351693

Guo-Liang Yu, Rufus Willett, Daniel A. Ramras

Publication date: 9 July 2013

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

Full work available at URL: https://arxiv.org/abs/1203.6168

zbMATH Keywords

representationNovikov conjectureBaum-Connes conjectureK-homologyslant product

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Kasparov theory ((KK)-theory) (19K35) Topological (K)-theory (55N15) Index theory (19K56)

Related Items (4)

A counterexample to the HK-conjecture that is principal ⋮ Hecke modules for arithmetic groups via bivariant \(K\)-theory ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. I: The geometric model ⋮ The homotopy groups of a homotopy group completion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• C*-algebras, positive scalar curvature, and the Novikov conjecture
• Construction of universal bundles. II
• Characters and cohomology of finite groups
• Yang-Mills theory over surfaces and the Atiyah-Segal theorem
• Equivariant KK-theory and the Novikov conjecture
• The Novikov conjecture for groups with finite asymptotic dimension
• Localization algebras and the coarse Baum-Connes conjecture
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• \(C^*\)-algebra extension theory and duality
• Group cohomology with Lipschitz control and higher signatures
• Cohomology of the space of commuting \(n\)-tuples in a compact Lie group
• Excision for deformation \(K\)-theory of free products
• Classifying spaces and spectral sequences
• The index of elliptic operators. IV, V
• Novikov's higher signature and families of elliptic operators
• On the Yang–Mills stratification for surfaces
• The stable moduli space of flat connections over a surface
• GROUP QUASI-REPRESENTATIONS AND INDEX THEORY
• Duality between D(X) and with its application to picard sheaves
• Characteristic Classes. (AM-76)
• Lattices in product of trees

This page was built for publication: A finite-dimensional approach to the strong Novikov conjecture