An invariant for unbounded operators
(2006) In Proceedings of the American Mathematical Society 134(9). p.2593-2598- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/408809
- author
- Manuilov, V and Silvestrov, Sergei LU
- organization
- publishing date
- 2006
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- invariant, deformations, bott projections, K-group
- in
- Proceedings of the American Mathematical Society
- volume
- 134
- issue
- 9
- pages
- 2593 - 2598
- publisher
- American Mathematical Society (AMS)
- external identifiers
-
- wos:000237513900014
- scopus:33748298792
- ISSN
- 1088-6826
- DOI
- 10.1090/S0002-9939-06-08284-0
- project
- Non-commutative Geometry in Mathematics and Physics
- Non-commutative Analysis of Dynamics, Fractals and Wavelets
- language
- English
- LU publication?
- yes
- id
- a6e74693-35c0-4c89-b0d5-c2f448d86a36 (old id 408809)
- alternative location
- http://www.ams.org/proc/2006-134-09/S0002-9939-06-08284-0/home.html
- date added to LUP
- 2016-04-01 12:18:21
- date last changed
- 2022-01-27 01:45:13
@article{a6e74693-35c0-4c89-b0d5-c2f448d86a36,
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.}},
author = {{Manuilov, V and Silvestrov, Sergei}},
issn = {{1088-6826}},
keywords = {{invariant; deformations; bott projections; K-group}},
language = {{eng}},
number = {{9}},
pages = {{2593--2598}},
publisher = {{American Mathematical Society (AMS)}},
series = {{Proceedings of the American Mathematical Society}},
title = {{An invariant for unbounded operators}},
url = {{http://dx.doi.org/10.1090/S0002-9939-06-08284-0}},
doi = {{10.1090/S0002-9939-06-08284-0}},
volume = {{134}},
year = {{2006}},
}