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Factor representations of infinite semi-direct products


In this article, we propose a new method to study unitary representations of inductive limits of locally compact groups. For the group of infinite upper triangular matrices, we construct a family of type III factorial representations. These results are complements to previous results of A. V. Kosyak, and Albeverio and Kosyak [1, 5].

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TitleFactor representations of infinite semi-direct products
SourceMethods Funct. Anal. Topology, Vol. 17 (2011), no. 2, 180-192
MathSciNet   MR2849478
CopyrightThe Author(s) 2011 (CC BY-SA)

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R. Zekri
Institut de Mathematiques de Luminy, Universite de la Mediterranee, Faculte des sciences de Luminy, 163, Avenue de Luminy, 13288, Marseille Cedex 09, France 

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R. Zekri, Factor representations of infinite semi-direct products, Methods Funct. Anal. Topology 17 (2011), no. 2, 180-192.


@article {MFAT552,
    AUTHOR = {Zekri, R.},
     TITLE = {Factor representations of infinite semi-direct products},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {17},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {180-192},
      ISSN = {1029-3531},
  MRNUMBER = {MR2849478},
       URL = {},

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