Tensor products with anisotropic principal series representations of free groups
type: Item
instance of: scholarly article
title: Tensor products with anisotropic principal series representations of free groups
zbMATH Open document ID: 0848.22012
author: Carlo Pensavalle
author: Tim Steger
published in: Pacific Journal of Mathematics
publication date: 1996-08-29T00:00:00Z
review text: Let \(\tau\) be the tensor product of an anisotropic principal series representation of a free group \(\Gamma\), not an endpoint representation, with an irreducible unitary finite-dimensional \(\Gamma\)-representation. Usually \(\tau\) is irreducible and has exactly two perfect boundary realizations. In a certain well specified anomalous case \(\tau\) splits into two irreducible components and each component has exactly one boundary realization, which is not perfect.
Mathematics Subject Classification ID: 22D10
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 20E05
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 22E46
zbMATH DE Number: 910284
zbMATH Keywords: unitary representation
zbMATH Keywords: noncommutative dynamical system
zbMATH Keywords: tensor product
zbMATH Keywords: principal series representation
zbMATH Keywords: free group
MaRDI profile type: Publication
full work available at URL: pjm.1996.173.181
OpenAlex ID: W1592111831
DOI: 10.2140/PJM.1996.173.181
description: scientific article; zbMATH DE number 910284