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

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.

preprint2013arXivOpen access
Roberto ContiJeong Hee HongWojciech Szymanski
math.OAmath.GRmath.DSmath.FA
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Roberto ContiJeong Hee HongWojciech Szymanski

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