Cyclic homology of differential operators
type: Item
instance of: scholarly article
title: Cyclic homology of differential operators
zbMATH Open document ID: 0635.18010
DOI: 10.1215/S0012-7094-87-05426-3
author: Mariusz Wodzicki
published in: Duke Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 18G40
Mathematics Subject Classification ID: 46M20
Mathematics Subject Classification ID: 58A12
Mathematics Subject Classification ID: 14F40
Mathematics Subject Classification ID: 55N35
zbMATH DE Number: 4033979
zbMATH Keywords: cyclic homology
zbMATH Keywords: Connes sequence
zbMATH Keywords: spectral sequence
zbMATH Keywords: differential operator
zbMATH Keywords: de Rham cohomology
zbMATH Keywords: Stein manifold
zbMATH Keywords: algebra of differential operators
MaRDI profile type: Publication
cites work: A differential complex for Poisson manifolds
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cites work: Differential Forms On Regular Affine Algebras
cites work: Homological methods in Taylor's holomorphic calculus of several operators in a Banach space
cites work: Cyclic homology and the Lie algebra homology of matrices
cites work: Q3726294
cites work: Homology and cohomology for topological algebras
cites work: Q3794944
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full work available at URL: s0012-7094-87-05426-3
OpenAlex ID: W1996508305
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description: scientific article; zbMATH DE number 4033979