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Noncommutative geometry and classification of elliptic operators

✍ Scribed by V. E. Nazaikinskii; A. Yu. Savin; B. Yu. Sternin


Publisher
Springer US
Year
2010
Tongue
English
Weight
447 KB
Volume
164
Category
Article
ISSN
1573-8795

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Gaussian averages of automorphisms of a von Neumannn algebra yield Markov semigroups by the well-known procedure of subordination. We construct operatorvalued martingales to realise perturbations of such semigroups through Feynman Kac formulae. The perturbations are noncommutative vector fields, and