The Type I Part of the Regular Representation
Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1086-1089
Voir la notice de l'article provenant de la source Cambridge University Press
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
@article{10_4153_CJM_1974_100_8,
author = {Formanek, Edward},
title = {The {Type} {I} {Part} of the {Regular} {Representation}},
journal = {Canadian journal of mathematics},
pages = {1086--1089},
year = {1974},
volume = {26},
number = {5},
doi = {10.4153/CJM-1974-100-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-100-8/}
}
[1] 1. Amitsur, S. A. and Levitski, J., Minimal identities for algebras, Proc. Amer. Math. Soc. 1 (1950), 449–463. Google Scholar
[2] 2. Kaniuth, E., Der Typ der regulàren Darstellungen diskreter Gruppen, Math. Ann. 182 (1969), 334–339. Google Scholar
[3] 3. Smith, M., Regular representations, J. Functional Analysis 11 (1972), 401–406. Google Scholar
[4] 4. Sakai, S., C*-algebras and W*-algebras (Springer-Ver lag, New York, 1971). Google Scholar
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