Symmetric states for $C^{\ast }$-Fermi systems I: De Finetti theorem

Abstract

n the present note, which is the first part of a work concerning the study of the set of the symmetric states for Fermi systems, we describe the extension of the De Finetti theorem to the infinite Fermi $C^{\ast }$-tensor product of a single (separable) general $\bz^2$-graded $C^{\ast }$-algebra.

19 pages

References in corpus (4)

• Diagonalizability of non homogeneous quantum Markov states and associated von Neumann algebras
• A note on Boolean stochastic processes
• $C^{\ast }$-fermi systems and detailed balance
• de Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products