Cyclic cohomology, the Novikov conjecture and hyperbolic groups

1990/01/01 by Alain Connes, Henri Moscovici · 3 citations
Mathematics · #Advanced Operator Algebra Research #Cohomology #Combinatorics #Conjecture #Fundamental group #Geometric and Algebraic Topology #Group (periodic table) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy group #Hyperbolic function #Hyperbolic group #Hyperbolic manifold #Mathematical analysis #Mathematics #Pure mathematics

paper · doi:10.1016/0040-9383(90)90003-3

crossref issued 1990/01/01 · crossref published 1990/01/01 · crossref published-print 1990/01/01 · openalex publication_date 1990/01/01 · crossref created 2002/07/25 · crossref deposited 2019/04/12 · openalex created_date 2025/10/10 · crossref indexed 2026/04/10 · openalex updated_date 2026/06/11

Citations

• K-Theory for Operator Algebras
• The Index of Elliptic Operators: III
• On the heat equation and the index theorem
• Positive scalar curvature and the Dirac operator on complete riemannian manifolds
• Non-commutative differential geometry
• A short proof of the local Atiyah-Singer index theorem
• Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
• The Index of Elliptic Operators: I

Cited by

• The Novikov Conjecture for Groups with Finite Asymptotic Dimension
• A Course on Geometric Group Theory
• Atiyah–Singer index theorem [wikipedia]