On the complexity of sets of uniqueness and extended uniqueness
Functional Analysis
2020-11-24 v1 Group Theory
Logic
Operator Algebras
Abstract
We locate the complexity of the set of closed sets of uniqueness U(G), for G locally compact Lie group and of the set of closed sets of extended uniqueness U_0(G), for G connected abelian Lie group. More concretely, we prove that with respect to the Effros-Borel space, these sets are coanalytic complete. This extends previous results obtained for the case G=T.
Keywords
Cite
@article{arxiv.2011.11489,
title = {On the complexity of sets of uniqueness and extended uniqueness},
author = {João Paulos},
journal= {arXiv preprint arXiv:2011.11489},
year = {2020}
}