Exercise 5, § 2
Tag 03BH, permanent. Cite it as [Bourbaki, Tag 03BH].
Spectral Theories, V, p. 487
Let G be a unimodular locally compact group.
(a) If there exists a finite-dimensional square-integrable representation of G, then G is compact.
(b) If there exists a square-integrable representation of G, then the center of G is compact.
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