When unit groups of continuous inverse algebras are regular Lie groups
Functional Analysis
2012-02-07 v1
Abstract
It is a basic fact in infinite-dimensional Lie theory that the unit group G(A) of a continuous inverse algebra A is a Lie group. We describe criteria ensuring that the Lie group G(A) is regular in Milnor's sense. Notably, G(A) is regular if A is Mackey-complete and locally m-convex.
Keywords
Cite
@article{arxiv.1202.1129,
title = {When unit groups of continuous inverse algebras are regular Lie groups},
author = {Helge Glockner and Karl-Hermann Neeb},
journal= {arXiv preprint arXiv:1202.1129},
year = {2012}
}
Comments
LaTeX, 17 pages