Connes, Alain Sur la théorie non commutative de l’intégration. (French) Zbl 0412.46053 Algebres d’operateurs, Semin. Les Plans-sur-Bex 1978, Lect. Notes Math. 725, 19-143 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 21 ReviewsCited in 111 Documents MSC: 46L51 Noncommutative measure and integration 46L53 Noncommutative probability and statistics 46L54 Free probability and free operator algebras 57R30 Foliations in differential topology; geometric theory 58J20 Index theory and related fixed-point theorems on manifolds 47F05 General theory of partial differential operators 47Gxx Integral, integro-differential, and pseudodifferential operators Keywords:foliations; elliptic differential operators on foliated manifolds; integration theory for measurable groupoids; transverse function; transverse measure; unitary representations; square integrable representation; fields of intertwining operators; von Neumann algebra; integrable modular automorphism groups; flow of weights; foliated manifold; holonomy groupoid; Radon measures; closed currents; pseudodifferential operators; Fredholm operator; fields of Sobolev spaces; index formula; symbol; Todd class; Euler class; Betti numbers; space of harmonic forms; gaussian curvature of the leaves; Ko-group Citations:Zbl 0397.00005 × Cite Format Result Cite Review PDF