Classification of sectors of the Cuntz algebras by graph invariants

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dc.creatorKawamura, Katsunori
dc.date2005-07-19
dc.date.accessioned2026-07-07T05:21:49Z
dc.date.available2026-07-07T05:21:49Z
dc.descriptionA unitary equivalence class of endomorphisms of a unital C$^{*}$-algebra ${\cal A}$ is called a {\it sector} of ${\cal A}$. We introduced permutative endomorphisms of the Cuntz algebra ${\cal O}_N$ in the previous work. Branching laws of permutative representations of ${\cal O}_N$ by them are computed by directed regular graphs. In this article, we classify sectors associated with permutative endomorphisms of ${\cal O}_N$ by their graph invariants concretely.
dc.identifierhttps://arxiv.org/abs/math/0507376
dc.identifierhttp://arxiv.org/abs/math/0507376
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75829
dc.subjectOperator Algebras
dc.subject47D25
dc.titleClassification of sectors of the Cuntz algebras by graph invariants
dc.typetext

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