Article contents
The Type I Part of the Regular Representation
Published online by Cambridge University Press: 20 November 2018
Extract
Let G be a discrete group and let H = L2(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).
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1974
References
- 4
- Cited by