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Type: Report × Subject: Cuntz algebra ×

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    On conjugacy of MASAs and the outer automorphism aroup of the Cuntz algebra
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2013) Conti, Roberto; Hong, Jeong Hee; Szyma´nski, Wojciech
    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.
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    Noncommutative topological entropy of endomorphisms of Cuntz algebras
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2008) Skalski, Adam; Zacharias, Joachim
    Noncommutative topological entropy estimates are obtained for ‘finite range’ endomorphisms of Cuntz algebras, generalising known results for the canonical shift endomorphisms. Exact values are computed for a class of polynomial endomorphisms related to branching function systems introduced and studied by Bratteli, Jorgensen and Kawamura.