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Factor representations of infinite semi-direct products

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Abstract

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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Article Information

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)

Authors Information

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 


Citation Example

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


BibTex

@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},
       URL = {http://mfat.imath.kiev.ua/article/?id=552},
}


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