scientific article; zbMATH DE number 1246864

zbMath0944.46053MaRDI QIDQ4226711

Yu. P. Solov'ev, Evgenij V. Troitsky

Publication date: 31 January 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Dirac operatorcyclic homologycharacteristic classesK-theoryNovikov conjecturesupermanifoldsnoncommutative differential geometryKK-theoryBruhat-Tits buildingfunctional integrationAtiyah-Singer index theoremFredholm representationsnon-simply connected manifoldsMishchenko symmetric signaturehomotopy invariance of higher signatures\(C^*\)-Hilbert modulesgeneralized Lefschetz numberscyclic and dihedral homology\(C^*\)-bundles\(C^*\)-index theoremcomplete Riemannian non-positive curvature manifolddifferential topologicalgeneralized Hirzebruch formulaehomotopy-invariant rational Pontryagin numbersspinor manifolds

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Differential topology (57R99) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Index theory (19K56) Pseudodifferential operators (47G30) Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx)

Related Items (2)

Some estimates in \(\mathbb R^n\) for linear partial differential operators ⋮ Convolution operators with weakly oscillating coefficients in Hilbert moduli on groups and applications

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