JournalsprimsVol. 20 , No. 3DOI 10.2977/prims/1195181411Ortho-Independent States of the C. C. R. AlgebraJ. M. LindsayUniversity of Nottingham, UKDownload PDFAbstractWe 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.