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Primary Representation

Let $\pi$ be a unitary Representation of a Group $G$ on a separable Hilbert Space, and let $R(\pi)$ be the smallest weakly closed algebra of bounded linear operators containing all $\pi(g)$ for $g\in G$. Then $\pi$ is primary if the center of $R(\pi)$ consists of only scalar operations.


Knapp, A. W. ``Group Representations and Harmonic Analysis, Part II.'' Not. Amer. Math. Soc. 43, 537-549, 1996.

© 1996-9 Eric W. Weisstein