On conjugacy of MASAs and the outer automorphism aroup 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 On. In particular, we exhibit an uncountable family of MASAs, conjugate to the standard MASA Dn via Bogolubov automorphisms, that are not inner conjugate to Dn.

Keywords

Cuntz algebra, MASA, automorphism

URI

https://doi.org/10.34657/2803
https://oa.tib.eu/renate/handle/123456789/3355

Citation

Conti, R., Hong, J. H., & Szyma´nski, W. (2013). On conjugacy of MASAs and the outer automorphism aroup of the Cuntz algebra (Vol. 2013-21). Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. https://doi.org//10.14760/OWP-2013-21

Collections

Mathematik
Oberwolfach Preprints (OWP)

License

This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.

Full item page