Index theory on locally homogeneous spaces

DOI10.1007/BF00538884zbMath0744.46062MaRDI QIDQ1176116

Jeffrey Fox, Peter Haskell

Publication date: 25 June 1992

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

Fredholm operatorelliptic operatorKasparov productelliptic pseudo-differential operatorcovolumeCartan subgrouptorsion-free discrete subgroupcompact subgroupLanglands conjecture\(G\)-equivariant \(K\)-homology\(L^ 2\)-index theoryequivariant K homologyWilliam theorem

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory (19K56) Pseudodifferential operators (47G30)

Related Items

Index formulas for geometric Dirac operators in Riemannian foliations

Cites Work

• Note on a theorem of H. Moscovici
• L\({}^ 2\)-index theorems on certain complete manifolds
• \(L^ 2\)-index and the Selberg trace formula
• Cycles and relative cycles in analytic K-homology
• The \(L^2\)-index theorem for homogeneous spaces of Lie groups
• The longitudinal index theorem for foliations
• Manifolds with cusps of rank one. Spectral theory and \(L^ 2\)-index theorem
• Equivariant KK-theory and the Novikov conjecture
• \(L^2\)-cohomology and the discrete series
• A geometric construction of the discrete series for semisimple Lie groups
• Some remarks on Kasparov theory
• Dirac operator and the discrete series
• Laplacian and the Discrete Spectrum of an Arithmetic Group
• An Index Theorem for First Order Regular Singular Operators
• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
• 𝐿²-index of elliptic operators on locally symmetric spaces of finite volume
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