Equivariant Novikov conjecture for groups acting on Euclidean buildings

DOI10.1090/S0002-9947-98-01990-4zbMath0895.46033WikidataQ123353272 ScholiaQ123353272MaRDI QIDQ4382353

Donggeng Gong

Publication date: 30 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Euclidean buildingsequivariant Novikov conjecturealmost flat \(C^*\)-algebra bundlesConnes-Gromov-Moscovici theoremequivariant Hilsum-Skandalis methodequivariant signature elements

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Topological (K)-theory (55N15) Index theory (19K56)

Related Items

Rigidity of higher elliptic genera, Novikov’s Conjecture

Cites Work

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• C*-algebras, positive scalar curvature, and the Novikov conjecture
• Fonctorialité en K-théorie bivariante pour les variétés lipschitziennes. (Functoriality in the bivariant K-theory for Lipschitz manifolds)
• Algebraic K-theory of spaces and the Novikov conjecture
• Manifolds of nonpositive curvature and their buildings
• Equivariant KK-theory and the Novikov conjecture
• Hyperbolic metric spaces and the exotic cohomology Novikov conjecture
• Groups acting on buildings, operator \(K\)-theory, and Novikov's conjecture
• Curvature, tangentiality, and controlled topology
• Bivariant twisted cyclic theory and spectral sequences of crossed products
• Buildings of spherical type and finite BN-pairs
• The cyclotomic trace and algebraic K-theory of spaces
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• Excision of equivariant cyclic cohomology of topological algebras
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Controlled algebra and the Novikov conjectures for \(K\)- and \(L\)-theory
• Sobolev spaces and harmonic maps for metric space targets
• Group cohomology with Lipschitz control and higher signatures
• The index of elliptic operators. III
• Novikov's higher signature and families of elliptic operators
• An equivariant Novikov conjecture
• Higher $G$-indices and applications
• Cross Products of Strongly Morita Equivalent C ∗ -Algebras
• A note on invariant subspaces