The regular representation of local affine motion groups

Bruce Blackadar

Vol. 108 (1983), No. 2, 265–274

DOI: 10.2140/pjm.1983.108.265

Abstract

Let F be a nondiscrete locally compact topological field. Then the regular representation of the group of invertible affine motions of Fⁿ, the semidirect product of Fⁿ by GL_n(F), is a type I_∞ factor. An explicit transformation formula is obtained.

Mathematical Subject Classification 2000

Primary: 22E45

Secondary: 22E50, 46N05

Milestones

Received: 21 March 1981

Published: 1 October 1983