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search.filters.applied.f.access: openAccess × Type: Text × Publisher: Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach × Subject: MASA × Subject: automorphism ×

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    Localized endomorphisms of graph algebras
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2011) Conti, Roberto; Hong, Jeong Hee; Szyma´nski, Wojciech
    Endomorphisms of graph C*-algebras are investigated. A combinatorial ap- proach to analysis of permutative endomorphisms is developed. Then invertibility criteria for localized endomorphisms are given. Furthermore, proper endomor- phisms which restrict to automorphisms of the canonical diagonal MASA are analyzed. The Weyl group and the restricted Weyl group of a graph C*-algebra are introduced and investigated. Criteria of outerness for automorphisms in the restricted Weyl group are found.
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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.