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Noncommutative geometry of foliations

Published online by Cambridge University Press:  04 March 2008

Yuri A. Kordyukov
Yuri A. Kordyukov
Affiliation:
yurikor@matem.anrb.ruInstitute of Mathematics, Russian Academy of Sciences, 112 Chernyshevsky street, 450077 UfaRussia
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Abstract

We review basic notions and methods of noncommutative geometry and their applications to analysis and geometry on foliated manifolds.

Keywords

noncommutative geometryfoliationoperator algebrasspectral geometrypseudodifferential operatortransversally elliptic operatorcyclic cohomologyK-theorygroupoidindex theory
Type
Research Article
Information
Journal of K-Theory , Volume 2 , Special Issue 2: In Memory of Yurii Petrovich Solovyev October 8, 1944 – September 11, 2003 , October 2008 , pp. 219 - 327
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Copyright © ISOPP 2008

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