Tensor products with anisotropic principal series representations of free groups
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.
scientific article; zbMATH DE number 910284