scientific article

zbMath0745.46067MaRDI QIDQ3998475

Alain Connes

Publication date: 17 September 1992

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

zbMATH Keywords

weightsnoncommutative geometry\(K\)-theoryalgebraic topologystring theoryquantum Hall effectKadison's conjectureknot invariantscyclic cohomologyindex theoremPenrose tilingsnoncommutative integrationfoliation \(C^*\)-algebraNovikov's conjectureGelfand-Naimark theoryabstract elliptic operatorsdouble sheeted space-timeHeisenberg's quantization of classical mechanicsnon Neumann algebrasWeinberg-Salem model of electroweak interaction

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Free probability and free operator algebras (46L54) Quantization in field theory; cohomological methods (81T70) (K)-theory and homology; cyclic homology and cohomology (19D55) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Geometry and quantization, symplectic methods (81S10) Exotic index theories on manifolds (58J22) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Subfactors and their classification (46L37) Index theory (19K56)

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