Factor representations of infinite semi-direct products

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].

Full Text

Article Information

Title	Factor representations of infinite semi-direct products
Source	Methods Funct. Anal. Topology, Vol. 17 (2011), no. 2, 180-192
MathSciNet	MR2849478
Copyright	The 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},
  MRNUMBER = {MR2849478},
       URL = {http://mfat.imath.kiev.ua/article/?id=552},
}