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

摘要

We investigate the structure of the outer automorphism group of the Cuntzalgebra and the closely related problem of conjugacy of MASAa in O_n. Inparticular, we exhibit an uncountable family of MASAs, conjugate to thestandard MASA D_n via Bogolubov automorphisms, that are not inner conjugate toD_n.