We determine all states of the C.C. R. C* algebra  which have a certain independence property relative to a family of von Neumann sub-algebras indexed by subspaces of the test function space.
Cite this article
J. M. Lindsay, Ortho-Independent States of the C. C. R. Algebra. Publ. Res. Inst. Math. Sci. 20 (1984), no. 3, pp. 585–593DOI 10.2977/PRIMS/1195181411