Open Access

# 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].

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