%0 Journal Article %T Factor representations of infinite semi-direct products %+ Institut de Mathématiques de Marseille (I2M) %A Zekri, Richard %< avec comité de lecture %@ 1029-3531 %J Methods in functional analysis and topology %I Institute of Mathematics NAS of Ukraine %V 2 %8 2011-09-08 %D 2011 %K factor %K Von Neumann algebra %K Infinite dimensional nilpotent Lie group %Z Mathematics [math]/Operator Algebras [math.OA]Journal articles %X 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. %G English %L hal-01256885 %U https://hal.science/hal-01256885 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ I2M %~ I2M-2014-