When unit groups of continuous inverse algebras are regular Lie groups
Volume 211 / 2012
Studia Mathematica 211 (2012), 95-109
MSC: Primary 22E65; Secondary 34G10, 46G20, 46H05, 58B10.
DOI: 10.4064/sm211-2-1
Abstract
It is a basic fact in infinite-dimensional Lie theory that the unit group $A^\times $ of a continuous inverse algebra $A$ is a Lie group. We describe criteria ensuring that the Lie group $A^\times $ is regular in Milnor's sense. Notably, $A^\times $ is regular if $A$ is Mackey-complete and locally m-convex.
