Local left invertibility for operator tuples and noncommutative localizations

Dosiev, Anar
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 Frechet space. We prove that the canonical homomorphism U(g) -> O(g) of the universal enveloping algebra U(g) of a nilpotent Lie algebra g into its Arens-Michael envelope O(g) is the Taylor localization whenever g has normal growth.


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Gurel, E. (Elsevier BV, 2009-10-01)
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Citation Formats
A. Dosiev, “Local left invertibility for operator tuples and noncommutative localizations,” JOURNAL OF K-THEORY, pp. 163–191, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64078.