Local left invertibility for operator tuples and noncommutative localizations

Dosiev A.

JOURNAL OF K-THEORY, cilt.4, sa.1, ss.163-191, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1017/is008008021jkt064
  • Dergi Adı: JOURNAL OF K-THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.163-191
  • Anahtar Kelimeler: Arens-Michael envelope, noncommutative localization, entire functions in elements of a nilpotent Lie algebra, homological dimensions, NILPOTENT LIE-ALGEBRA, COHOMOLOGY, ELEMENTS, SPECTRA
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

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.