A note on the boundary representation of a continuous spatial semigroup of *-endomorphisms of ℬ(ℋ)

Alevras, Alexis

doi:10.1090/S0002-9939-1995-1277086-6

A note on the boundary representation of a continuous spatial semigroup of $*$-endomorphisms of $\mathcal {B}(\mathcal {H})$
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Proc. Amer. Math. Soc. 123 (1995), 3129-3133 Request permission

Abstract:

We prove that the equivalence class of the boundary representation ${\pi _\alpha },\mathcal {U}$ of an ${E_0}$-semigroup $\alpha$ is independent of the intertwining semigroup of isometries $\mathcal {U}$.

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