Geodesic
On the Mackey Borel Structure
Canadian journal of mathematics, Tome 23 (1971) no. 4, pp. 674-678

Voir la notice de l'article provenant de la source Cambridge University Press

Let A be a C *-algebra and a Hilbert space which is infinite dimensional and of Hilbert dimension ≧ dim π for all π ∈ Â. Suppose that the set Irr of all non-null *-representations π of A on , irreducible on the essential space , is given the relative strong topology as a subspace of Rep [2; 4; 6]. That is, the topology is that of simple convergence in with the strong topology. Finally, let ∼ denote equivalence of representations in Irr implemented by partial isometries in if and only if there exists a partial isometry with vv * ⊃ H(π 1) and v * v ⊃ H(π 2) satisfying π 2(a) = v*π 1(a)v for all a ∈ A. 
Gardner, L. Terrell. On the Mackey Borel Structure. Canadian journal of mathematics, Tome 23 (1971) no. 4, pp. 674-678. doi: 10.4153/CJM-1971-074-9
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