Quasi-representations of groups and two-homology
Operator Algebras
2022-04-20 v1 K-Theory and Homology
Abstract
The Exel-Loring formula asserts that two topological invariants associated to a pair of almost commuting unitary matrices coincide. Such a pair can be viewed as a quasi-representation of . We give a generalization of this formula for countable discrete groups. We also show the nontriviality of the corresponding invariants for quasidiagonal groups which are coarsely embeddable in a Hilbert space and have nonvanishing second Betti number.
Keywords
Cite
@article{arxiv.2111.05755,
title = {Quasi-representations of groups and two-homology},
author = {Marius Dadarlat},
journal= {arXiv preprint arXiv:2111.05755},
year = {2022}
}