Local left invertibility for operator tuples and noncommutative localizations

Date

2009-01-01

Author

Dosiev, Anar

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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.

Subject Keywords

Geometry and Topology, Algebra and Number Theory

URI

https://hdl.handle.net/11511/64078

Journal

JOURNAL OF K-THEORY

DOI

https://doi.org/10.1017/is008008021jkt064

Collections

Natural Sciences and Mathematics, Article

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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.