Quasidiagonal Representations of Nilpotent Groups
Operator Algebras
2014-01-23 v5 Group Theory
Abstract
We show that every unitary representation of a solvable discrete virtually nilpotent group G is quasidiagonal. Roughly speaking, this says that every unitary representation of G approximately decomposes as a direct sum of finite dimensional approximate representations. In operator algebraic terms we show that C*(G) is strongly quasidiagonal.
Cite
@article{arxiv.1303.2376,
title = {Quasidiagonal Representations of Nilpotent Groups},
author = {Caleb Eckhardt},
journal= {arXiv preprint arXiv:1303.2376},
year = {2014}
}
Comments
16 pages. Fixed errors and clarified some proofs