Special characters on star graphs and representations of $*$-algebras

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dc.creatorOstrovskyi, Vasyl
dc.date2005-09-12
dc.date2005-12-12
dc.date.accessioned2026-07-07T06:43:00Z
dc.date.available2026-07-07T06:43:00Z
dc.descriptionFor a star-shaped graph, we introduce special characters and study their properties. We decompose special characters into odd and even parts and study their evolution under reflections. We apply the obtained formulas to prove that the corresponding $*$-algebra have irreducible infinite-dimensional $*$-representations, if the graph contains an extended Dynkin graph as a proper subgraph.
dc.description10 pages. ver.3: a reference added
dc.identifierhttps://arxiv.org/abs/math/0509240
dc.identifierhttp://arxiv.org/abs/math/0509240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102254
dc.subjectRings and Algebras
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.subject16G20; 47A62
dc.titleSpecial characters on star graphs and representations of $*$-algebras
dc.typetext

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