Geodesic
Factor Representations and Factor States on a C*-Algebra
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 130-134

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

Let A be a C*-algebra and H a Hilbert space of large enough (infinite at least) dimension so that every πƒ, where ƒ is a factor state on A, can be unitarily represented on H. Let Fac (A, H) denote the set of all factor representations of A on H. If π is in Fac (A, H) we call its essential subspace the smallest, closed, vector subspace KoiH such that π (A ) is null on H Θ K. We define Fac∞(A, H) to be the set of elements in Fac (A, H) whose essential subspace is H. 
Schoen, James A. Factor Representations and Factor States on a C*-Algebra. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 130-134. doi: 10.4153/CJM-1976-015-5
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