When unit groups of continuous inverse algebras are regular Lie groups

Details When unit groups of continuous inverse algebras are regular Lie groups When unit groups of continuous inverse algebras are regular Lie groups

2012-02-06

arxiv.org/abs/1202.1129v1

Mathematics

Functional Analysis

LaTeX, 17 pages

Scientific paper

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.

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