A note on Boolean stochastic processes

Abstract

For the quantum stochastic processes generated by the Boolean Commutation Relations, we prove the following version of De Finetti Theorem: each of such Boolean process is exchangeable if and only if it is independent and identically distributed with respect to the tail algebra.

9 pages

References in corpus (1)

• De Finetti theorem on the CAR algebra

Cited by in corpus (5)

• Ergodic theorems in quantum probability: an application to the monotone stochastic processes
• A noncommutative De Finetti theorem for boolean independence
• Symmetric states for $C^{\ast }$-Fermi systems II: Klein transformation and their structure
• Symmetric states for $C^{\ast }$-Fermi systems I: De Finetti theorem
• On the Thermodynamics of Particles Obeying Monotone Statistics