When unit groups of continuous inverse algebras are regular Lie groups

Glöckner H, Neeb KH (2012)

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Studia Mathematica Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics)

Publisher: Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics)

Book Volume: 211

Pages Range: 95 - 109

Journal Issue: 2

URI: http://eudml.org/doc/285662

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.

Authors with CRIS profile

Karl Hermann Neeb Lehrstuhl für Mathematik (Lie-Gruppen und Darstellungstheorie)

How to cite

APA:

Glöckner, H., & Neeb, K.H. (2012). When unit groups of continuous inverse algebras are regular Lie groups. Studia Mathematica, 211(2), 95 - 109.

MLA:

Glöckner, Helge, and Karl Hermann Neeb. "When unit groups of continuous inverse algebras are regular Lie groups." Studia Mathematica 211.2 (2012): 95 - 109.

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