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DDC: 510 × Subject: permutative endomorphism ×

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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.