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articleNo Access
CAR flows on type III factors and their extendability
- Panchugopal Bikram
Infinite Dimensional Analysis, Quantum Probability and Related Topics25 Nov 2014
Preview Abstract
In this paper we prove that the CAR flows on type III factors arising from a large class of quasi-free states are not extendable, in the sense of Bikram, Izumi, Srinivasan and Sunder.⁸ As a consequence, CAR flows and CCR flows on type III factors are not cocycle conjugate. This is in sharp contrast with the situation for the type I_∞ factor, for which CAR and CCR flows are in fact conjugate. In addition, we also compute the super-product systems associated to CAR flows.

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