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Projective multi-resolution analyses arising from direct limits of Hilbert modules

  • Autores: Nadia S. Larsen, Iain Raeburn
  • Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 100, Nº 2, 2007, págs. 317-360
  • Idioma: inglés
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  • Resumen
    • The authors have recently shown how direct limits of Hilbert spaces can be used to construct multi-resolution analyses and wavelets in L2(R). Here they investigate similar constructions in the context of Hilbert modules over C*-algebras. For modules over C(Tn), the results shed light on work of Packer and Rieffel on projective multi-resolution analyses for specific Hilbert C(Tn)- modules of functions on Rn. There are also new applications to modules over C(C) when C is the infinite path space of a directed graph.


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