The Type I Part of the Regular Representation
Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1086-1089

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Let G be a discrete group and let H = L 2(G), with norm | |. Let B(H) be the ring of bounded operators on H with the norm The right regular representation of G on H induces an injection ρ : C[G] → B(H), and W(G) is the closure of the image of ρ in the weak operator topology on B(H) (C = complex numbers). Using ρ, we identify C[G] with its image in W(G).
Formanek, Edward. The Type I Part of the Regular Representation. Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1086-1089. doi: 10.4153/CJM-1974-100-8
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