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arXiv · 1202.1129

When unit groups of continuous inverse algebras are regular Lie groups

Helge Glockner·Karl-Hermann Neeb
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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.

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Helge Glockner, Karl-Hermann Neeb. 2012-02-06. When unit groups of continuous inverse algebras are regular Lie groups. https://arxiv.org/abs/1202.1129

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