Local left invertibility for operator tuples and noncommutative localizations

Date

2009-01-01

Author

Dosiev, Anar

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

213
views

0
downloads

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

Suggestions

OpenMETU
Core

Galois structure of modular forms of even weight Gurel, E. (Elsevier BV, 2009-10-01) We calculate the equivariant Euler characteristics of powers of the canonical sheaf on certain modular curves over Z which have a tame action of a finite abelian group. As a consequence, we obtain information on the Galois module structure of modular forms of even weight having Fourier coefficients in certain ideals of rings of cyclotomic algebraic integers. (c) 2009 Elsevier Inc. All rights reserved.
TANNAKIAN CLASSIFICATION OF EQUIVARIANT PRINCIPAL BUNDLES ON TORIC VARIETIES Biswas, Indranil; Dey, Arijit; Poddar, Mainak (Springer Science and Business Media LLC, 2020-03-01) LetXbe a complete toric variety equipped with the action of a torusT, andGa reductive algebraic group, defined over an algebraically closed fieldK. We introduce the notion of a compatible n-ary sumation -filtered algebra associated toX, generalizing the notion of a compatible n-ary sumation -filtered vector space due to Klyachko, where n-ary sumation denotes the fan ofX. We combine Klyachko's classification ofT-equivariant vector bundles onXwith Nori's Tannakian approach to principalG-bundles, to give an eq...
On endomorphisms of surface mapping class groups Korkmaz, Mustafa (Elsevier BV, 2001-05-01) In this paper, we prove that every endomorphism of the mapping class group of an orientable surface onto a subgroup of finite index is in fact an automorphism.
Toeplitz operators on Arveson and Dirichlet spaces Alpay, Daniel; Kaptanoglu, H. Turgay (Springer Science and Business Media LLC, 2007-05-01) We define Toeplitz operators on all Dirichlet spaces on the unit ball of C-N and develop their basic properties. We characterize bounded, compact, and Schatten-class Toeplitz operators with positive symbols in terms of Carleson measures and Berezin transforms. Our results naturally extend those known for weighted Bergman spaces, a special case applies to the Arveson space, and we recover the classical Hardy-space Toeplitz operators in a limiting case; thus we unify the theory of Toeplitz operators on all th...
Fibre products of Kummer covers and curves with many points Özbudak, Ferruh (Springer Science and Business Media LLC, 2007-10-01) We study the general fibre product of any two Kummer covers of the projective line over finite fields. Under some assumptions, we obtain an involved condition for the existence of rational points in the fibre product over a rational point of the projective line so that we determine the exact number of the rational points. Using this, we construct explicit examples of such fibre products with many rational points. In particular we obtain a record and a new entry for the table (http://www.science.uva.nl/(simi...

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.