On connected Lie groups and the Approximation Property

Søren Knudby

doi:10.1016/j.crma.2016.04.007

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arXiv · 1603.05518

On connected Lie groups and the Approximation Property

Søren Knudby

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Abstract

Recently, a complete characterization of connected Lie groups with the Approximation Property was given. The proof used of the newly introduced property (T*). We present here a short proof of the same result avoiding the use of property (T*). Using property (T*), however, the characterization is extended to every almost connected group. We end with some remarks about the impossibility of going beyond the almost connected case.

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Søren Knudby. 2016-03-16. On connected Lie groups and the Approximation Property. https://doi.org/10.1016/j.crma.2016.04.007

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