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Cyclic homology of differential operators. (English) Zbl 0635.18010

Der Verf. zeigt, wie man für eine kompakte \(C^{\infty}\) Mannigfaltigkeit X die Hochschild- und die zyklische Homologie der Algebra der Differentialoperatoren auf X durch die De Rham Kohomologie von X ausdrücken kann. Entsprechende Ergebnisse gelten für Steinsche Mannigfaltigkeiten und für glatte affine Varietäten in der Charakteristik 0.
Reviewer: K.Lamotke

MSC:

18G40 Spectral sequences, hypercohomology
46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.)
58A12 de Rham theory in global analysis
14F40 de Rham cohomology and algebraic geometry
55N35 Other homology theories in algebraic topology
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References:

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