Property (T) for topological groups and C*-algebras

The Dauns–hofmann Theorem Revisited

“…It has been known in the C * -text book and monograph literature up to the recent one under this name ([9, 20, 21, 39, 41]) since it provides apparently a useful tool that continues to be used in current research (see e.g. [7,8,25,38,40]). The problem with the historical record of the Dauns-Hofmann Theorem is that it used to be somewhat obscure how it originated and that the full weight of what was proved was not precisely understood for a long time.…”