On conjugacy of maximal abelian subalgebras and the outer automorphism group of the Cuntz algebra

摘要

We investigate the structure of the outer automorphism group of the Cuntz algebra and the closely related problem of conjugacy of MASAs in O_n. In particular, we exhibit an uncountable family of MASAs, conugate to the standard MASA D_n via Bogolubov automorphisms, that are not inner conjugate to D_n.