Factor representations of infinite semi-direct products

Richard Zekri (1)

1 I2M - Institut de Mathématiques de Marseille

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.

Mots clés: factor; Von Neumann algebra; Infinite dimensional nilpotent Lie group

Domaines: Algèbres d'opérateurs [math.OA]

Richard Zekri. Factor representations of infinite semi-direct products. Methods in functional analysis and topology, 2011, 2. ⟨hal-01256885⟩