Automata computation of branching laws for endomorphisms of Cuntz algebras

dc.creatorKawamura, Katsunori
dc.date2006-01-30
dc.date.accessioned2026-07-07T06:59:27Z
dc.date.available2026-07-07T06:59:27Z
dc.descriptionIn our previous articles, we have presented a class of endomorphisms of the Cuntz algebras which are defined by polynomials of canonical generators and their conjugates. We showed the classification of some case under unitary equivalence by help of branching laws of permutative representations. In this article, we construct an automaton which is called the Mealy machine associated with the endomorphism in order to compute its branching law. We show that the branching law is obtained as outputs from the machine for the input of information of a given representation.
dc.identifierhttps://arxiv.org/abs/math/0601716
dc.identifierhttp://arxiv.org/abs/math/0601716
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107751
dc.subjectOperator Algebras
dc.subject47D25
dc.titleAutomata computation of branching laws for endomorphisms of Cuntz algebras
dc.typetext

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