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Journal of Lie Theory 33 (2023), No. 1, 005--028
Copyright Heldermann Verlag 2023

Karl Heinrich Hofmann and the Structure of Compact Groups and Pro-Lie Groups

Sidney A. Morris
(1) School of Engineering, IT and Physical Sciences, Federation University, Ballarat, Victoria, Australia
(2) Department of Mathematical and Physical Sciences, La Trobe University, Melbourne, Victoria, Australia

This article is dedicated to Karl Heinrich Hofmann on his 90th birthday. The first part of the article records some biographical facts about him. The second part focuses on the research papers and books he published with the author of this article over the last 45 years. These results concern the structure of compact groups and pro-Lie groups.

Keywords: Topological group, Lie group, compact group, pro-Lie group, Lie algebra, duality, Pontryagin duality, LCA group.

MSC: 22C05, 22E65.

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