@inproceedings{04aafff0e32a11dd990c000ea68e967b,

title = "On localized automorphisms of the Cuntz algebras which preserve the diagonal subalgebra",

abstract = "In 1978, Cuntz raised the problem of classifying automorphisms of On which leave both the diagonal and the core UHF-subalgebra invariant. In this note, we start developing a machinery that might be useful towards this goal. In particular, we give a practical criterion of invertibility of endomorphisms of On corresponding to unitaries in the normalizer of the diagonal inside the UHF-subalgebra. We also analyze the action of such localized automorphisms on the spectrum of the diagonal thus obtaining criteria of outerness. ",

author = "Wojciech Szymanski",

year = "2008",

language = "English",

volume = "1587",

series = "R.I.M.S. Kokyuroku",

publisher = "Research Institute for Mathematical Sciences, Kyoto University",

number = "1587",

pages = "109--115",

editor = "Kengo Matsumoto",

booktitle = "New development of Operator Algebras",

note = "New development of Operator Algebras ; Conference date: 10-09-2007 Through 12-09-2007",

}