On Conjugacy of MASAs and the Outer Automorphism Group of the Cuntz Algebra
arXiv:1308.3840
Abstract
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.