Factor representations of infinite semi-direct products

Authors

  • 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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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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Published

2011-06-25

Issue

Vol. 17 No. 2 (2011)

Section

Articles

How to Cite

Zekri, R. “Factor Representations of Infinite Semi-Direct Products”. Methods of Functional Analysis and Topology, vol. 17, no. 2, June 2011, pp. 180-92, https://zen.imath.kiev.ua/index.php/mfat/article/view/482.