Quasidiagonal Representations of Nilpotent Groups
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2013
- DOI:
- 10.48550/arXiv.1303.2376
- arXiv:
- arXiv:1303.2376
- Bibcode:
- 2013arXiv1303.2376E
- Keywords:
-
- Mathematics - Operator Algebras;
- Mathematics - Group Theory
- E-Print:
- 16 pages. Fixed errors and clarified some proofs