Representations of Cuntz algebras, loop groups and wavelets

Simple item page
dc.creatorJorgensen, Palle E. T.
dc.date2000-08-15
dc.date.accessioned2026-07-07T04:36:47Z
dc.date.available2026-07-07T04:36:47Z
dc.descriptionA theorem of Glimm states that representation theory of an NGCR C*-algebra is always intractable, and the Cuntz algebra O_N is a case in point. The equivalence classes of irreducible representations under unitary equivalence cannot be captured with a Borel cross section. Nonetheless, we prove here that wavelet representations correspond to equivalence classes of irreducible representations of O_N, and they are effectively labeled by elements of the loop group, i.e., the group of measurable functions A:T-->U_N(C). These representations of O_N are constructed here from an orbit picture analysis of the infinite-dimensional loop group.
dc.description6 pages, LaTeX2e "amsproc" class; expanded version of an invited lecture given by the author at the International Congress on Mathematical Physics, July 2000 in London
dc.identifierhttps://arxiv.org/abs/math/0008102
dc.identifierhttp://arxiv.org/abs/math/0008102
dc.identifierXIIIth International Congress on Mathematical Physics (London, 2000) (A. Fokas, A. Grigoryan, T. Kibble, and B. Zegarlinski, eds.), International Press, Boston, 2001, pp. 327--332
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59727
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subject46L60, 47D25, 42A16, 43A65 (Primary); 46L45, 42A65, 41A15 (Secondary)
dc.titleRepresentations of Cuntz algebras, loop groups and wavelets
dc.typetext

Files

Collections

arXiv