JOURNAL OF K-THEORY, vol.4, no.1, pp.163-191, 2009 (Peer-Reviewed Journal)
Article / Article
JOURNAL OF K-THEORY
Science Citation Index Expanded, Scopus
Arens-Michael envelope, noncommutative localization, entire functions in elements of a nilpotent Lie algebra, homological dimensions, NILPOTENT LIE-ALGEBRA, COHOMOLOGY, ELEMENTS, SPECTRA
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.