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Local left invertibility for operator tuples and noncommutative localizations

Published online by Cambridge University Press:  04 September 2008

Anar Dosiev
Anar Dosiev
Affiliation:
Middle East Technical University NCC, Guzelyurt KKTC Mersin 10, Turkey, dosiev@yahoo.com.
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Abstract

In the paper we propose an operator approach to the noncommutative Taylor localization problem based on the local left invertibility for operator tuples acting on a Fréchet space. We prove that the canonical homomorphism of the universal enveloping algebra of a nilpotent Lie algebra into its Arens-Michael envelope is the Taylor localization whenever has normal growth.

Keywords

Arens-Michael envelopenoncommutative localizationentire functions in elements of a nilpotent Lie algebrahomological dimensions
Type
Research Article
Information
Journal of K-Theory , Volume 4 , Issue 1 , August 2009 , pp. 163 - 191
Copyright
Copyright © ISOPP 2008

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