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

Lie groups of germs of analytic mappings
H. Glöckner, in: Infinite Dimensional Groups and Manifolds. Based on the 70th Meeting of Theoretical Physicists and Mathematicians at IRMA, Strasbourg, France, May 2004., Berlin: de Gruyter, 2004, pp. 1–16.

Algebras whose groups of units are Lie groups
H. Glöckner, Studia Mathematica 153 (2002) 147–177.