Local left invertibility for operator tuples and noncommutative localizations


Dosiev A.

JOURNAL OF K-THEORY, cilt.4, ss.163-191, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 4 Konu: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1017/is008008021jkt064
  • Dergi Adı: JOURNAL OF K-THEORY
  • Sayfa Sayıları: ss.163-191

Özet

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.