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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 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 49, 053502-1-053502-13 p., 053502Article in journal (Refereed) 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.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2008. Vol. 49, 053502-1-053502-13 p., 053502
National Category
Mathematics Algebra and Logic
URN: urn:nbn:se:liu:diva-122357DOI: 10.1063/1.2913523OAI: diva2:865815
Available from: 2015-10-29 Created: 2015-10-29 Last updated: 2015-11-09

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Arnlind, Joakim
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