We obtain a representation of non commutative C*-algebras as function algebras on the pure state space, with a convenient product. This construction is an extension of the classical functional representation of commutative C*-algebras.
A FUNCTIONAL REPRESENTATION FOR NONCOMMUTATIVE C*-ALGEBRAS / R. Cirelli, A. Mania, L. Pizzocchero. - In: REVIEWS IN MATHEMATICAL PHYSICS. - ISSN 0129-055X. - 6:5(1994), pp. 675-697. [10.1142/S0129055X94000237]
A FUNCTIONAL REPRESENTATION FOR NONCOMMUTATIVE C*-ALGEBRAS
L. PizzoccheroUltimo
1994
Abstract
We obtain a representation of non commutative C*-algebras as function algebras on the pure state space, with a convenient product. This construction is an extension of the classical functional representation of commutative C*-algebras.
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