Algebras of analytic functionals and homological epimorphisms
Functional Analysis
2026-05-26 v3
Abstract
It has been proved by the author [arXiv: 2404.19433] that the Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism. We show here that for algebras of analytic functionals on a connected complex Lie group the analogous statement is satisfied without the assumption of solvability, and furthermore the completion homomorphisms of a more general form are also homological epimorphisms, including the envelope with respect to the class of Banach PI-algebras.
Keywords
Cite
@article{arxiv.2503.02474,
title = {Algebras of analytic functionals and homological epimorphisms},
author = {Oleg Aristov},
journal= {arXiv preprint arXiv:2503.02474},
year = {2026}
}
Comments
in Russian, VERSION 3, revised