English

On connected Lie groups and the Approximation Property

Operator Algebras 2016-09-19 v1 Functional Analysis Representation Theory

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.

Keywords

Cite

@article{arxiv.1603.05518,
  title  = {On connected Lie groups and the Approximation Property},
  author = {Søren Knudby},
  journal= {arXiv preprint arXiv:1603.05518},
  year   = {2016}
}

Comments

4 pages

R2 v1 2026-06-22T13:13:13.610Z