A self-dual CCR algebra is defined and arbitrary quasifree state is realized in a Fock type representation of another self-dual CCR algebra of a double size as a preparation for a study of quasi-equivalence of quasifree states.
Cite this article
Huzihiro Araki, Masafumi Shiraishi, On Quasifree States of the Canonical Commutation Relations (I). Publ. Res. Inst. Math. Sci. 7 (1971), no. 1, pp. 105–120DOI 10.2977/PRIMS/1195193785