English

Quasidiagonality of Kazhdan Groups

Operator Algebras 2025-10-23 v2 Group Theory

Abstract

It is shown that infinite, discrete, Kazhdan property (T) groups never have the {\it finite-dimensional density} (FDD) property. This answers a conjecture of Lubotzky and Shalom affirmatively.

Keywords

Cite

@article{arxiv.2510.17003,
  title  = {Quasidiagonality of Kazhdan Groups},
  author = {Mehdi Moradi},
  journal= {arXiv preprint arXiv:2510.17003},
  year   = {2025}
}

Comments

There is a serious gap in the proof of Theorem 3.2