Geodesic
The Primitive Ideal Space of a C*-Algebra
Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 42-49

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

The commutative Gelfand-Naimark Theorem says that any commutative C*-algebra A is isomorphic to the ring C 0(M, C) of all continuous complex-valued functions tending to zero outside of compact sets of a locally compact Hausdorff space M. A very important part of this theorem is an intrinsic and also a complete characterization of M as exactly the primitive ideal space of A in the hull-kernel (or weak-star) topology. In the non-commutative case, A ≌ Γ0(M, E)—the ring of sections tending to zero outside of compact subsets of a locally compact Hausdorff space M with values in the stalks or fibers E. 
Dauns, John. The Primitive Ideal Space of a C*-Algebra. Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 42-49. doi: 10.4153/CJM-1974-005-3
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