An invariant for unbounded operators
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- by Vladimir Manuilov and Sergei Silvestrov PDF
- Proc. Amer. Math. Soc. 134 (2006), 2593-2598 Request permission
Abstract:
For a class of unbounded operators, a deformation of a Bott projection is used to construct an integer-valued invariant measuring deviation of the non-commutative deformations from the commutative originals, and its interpretation in terms of $K$-theory of $C^*$-algebras is given. Calculation of this invariant for specific important classes of unbounded operators is also presented.References
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Additional Information
- Vladimir Manuilov
- Affiliation: Department of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
- MR Author ID: 237646
- Email: manuilov@mech.math.msu.su
- Sergei Silvestrov
- Affiliation: Department of Mathematics, Centre for Mathematical Sciences, Lund Institute of Technology, Lund University, P.O. Box 118, SE-221 00 Lund, Sweden
- Email: sergei.silvestrov@math.lth.se
- Received by editor(s): October 7, 2004
- Received by editor(s) in revised form: March 21, 2005
- Published electronically: February 17, 2006
- Additional Notes:
The first author was supported in part by the RFFI grant No. 05-01-00923 and H\textcyr{Sh}-619.2003.01, and the second author by the Crafoord Foundation, the Swedish Foundation for International Cooperation in Research and Higher Education (STINT) and the Royal Swedish Academy of Sciences. Part of this research was performed during the Non-commutative
Geometry program 2003/2004, Mittag-Leffler Institute, Stockholm.
- Communicated by: David R. Larson
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2593-2598
- MSC (2000): Primary 47L60; Secondary 19K14, 46L80
- DOI: https://doi.org/10.1090/S0002-9939-06-08284-0
- MathSciNet review: 2213737