Tensor products with anisotropic principal series representations of free groups (Q1919930)
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scientific article; zbMATH DE number 910284
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tensor products with anisotropic principal series representations of free groups |
scientific article; zbMATH DE number 910284 |
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Tensor products with anisotropic principal series representations of free groups (English)
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29 August 1996
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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.
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unitary representation
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noncommutative dynamical system
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tensor product
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principal series representation
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free group
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