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arxiv: 1308.3840 · v1 · pith:HV4J5ZGTnew · submitted 2013-08-18 · 🧮 math.OA · math.DS· math.FA· math.GR

On Conjugacy of MASAs and the Outer Automorphism Group of the Cuntz Algebra

classification 🧮 math.OA math.DSmath.FAmath.GR
keywords algebraautomorphismconjugacyconjugatecuntzgroupmasasouter
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We investigate the structure of the outer automorphism group of the Cuntz algebra and the closely related problem of conjugacy of MASAa in O_n. In particular, we exhibit an uncountable family of MASAs, conjugate to the standard MASA D_n via Bogolubov automorphisms, that are not inner conjugate to D_n.

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