On conjugacy of MASAs and the outer automorphism group of the Cuntz algebra

View/ Open
Date
2013-10-29MFO Scientific Program
Research in Pairs 2013Series
Oberwolfach Preprints;2013,21Author
Conti, Roberto
Hong, Jeong Hee
Szymański, Wojciech
Metadata
Show full item recordOWP-2013-21
Abstract
We investigate the structure of the outer automorphism group of the Cuntz algebra and the closely related problem of conjugacy of MASAa in $\mathcal{O}_n$. In particular, we exhibit an uncountable family of MASAs, conjugate to the standard MASA $\mathcal{D}_n$ via Bogolubov automorphisms, that are not inner conjugate to $\mathcal{D}_n$.