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arxiv: 1510.07513 · v2 · pith:AZLWYVFQnew · submitted 2015-10-26 · 🧮 math.OA · math-ph· math.DS· math.MP

Phase transition in O₂

classification 🧮 math.OA math-phmath.DSmath.MP
keywords statesabruptlyautomorphismcertainchangescriticalcuntz-algebradetermined
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We exhibit a one-parameter group of automorphism on the Cuntz-algebra O_2 such that the simplex of KMS states changes abruptly at a certain critical temperature from infinitely many to one, and then none. The factor types of the extremal KMS states are also determined.

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