Hopfish structure and modules over irrational rotation algebras

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dc.creatorBlohmann, Christian
dc.creatorTang, Xiang
dc.creatorWeinstein, Alan
dc.date2006-04-18
dc.date2007-03-09
dc.date.accessioned2026-07-07T07:50:50Z
dc.date.available2026-07-07T07:50:50Z
dc.descriptionInspired by the group structure on $S^1/ \bbZ$, we introduce a weak hopfish structure on an irrational rotation algebra $A$ of finite Fourier series. We consider a class of simple $A$-modules defined by invertible elements, and we compute the tensor product between these modules defined by the hopfish structure. This class of simple modules turns out to generate an interesting commutative unital ring.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0604405
dc.identifierhttp://arxiv.org/abs/math/0604405
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125303
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectOperator Algebras
dc.subjectRepresentation Theory
dc.subject16W30; 16D90
dc.titleHopfish structure and modules over irrational rotation algebras
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