Kakutani Dichotomy on Free States

arxiv: 1203.3581 · v1 · pith:5CW5HM5Dnew · submitted 2012-03-15 · 🧮 math-ph · math.MP· math.OA

Taku Matsui , Shigeru Yamagami This is my paper

classification 🧮 math-ph math.MPmath.OA

keywords statesalgebradichotomydisjointfreegeneratekakutaniquasi-equivalent

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Two quasi-free states on a CAR or CCR algebra are shown to generate quasi-equivalent representations unless they are disjoint.

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