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Representation theory of C  -algebras for a higher-order class of spheres and tori
Department of Mathematics, Royal Institute of Technology, S-100 44 Stockholm, Sweden .ORCID-id: 0000-0002-8727-2169
2008 (engelsk)Inngår i: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 49, s. 053502-1-053502-13, artikkel-id 053502Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We construct C  -algebras for a class of surfaces that are inverse images of certain polynomials of arbitrary degree. By using the directed graph associated with a matrix, the representation theory can be understood in terms of “loop” and “string” representations, which are closely related to the dynamics of an iterated map in the plane. As a particular class of algebras, we introduce the “Hénon algebras,” for which the dynamical map is a generalized Hénon map, and give an example where irreducible representations of all dimensions exist.

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American Institute of Physics (AIP), 2008. Vol. 49, s. 053502-1-053502-13, artikkel-id 053502
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URN: urn:nbn:se:liu:diva-122357DOI: 10.1063/1.2913523OAI: oai:DiVA.org:liu-122357DiVA, id: diva2:865815
Tilgjengelig fra: 2015-10-29 Laget: 2015-10-29 Sist oppdatert: 2017-12-01

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