Maximal Tracial Algebras
Functional Analysis
2018-06-12 v1
Abstract
We introduce and study the notion of maximal tracial algebras. We prove several results in a general setting based on dual pairs and multiplier pairs. In a special case that X is a Banach space we determine the abelian subalgebras of B(X) that are maximal tracial for rank-one tensors. We also make slight connections between our ideas and the Kadison Similarity Problem and also the Connes' Embedding Problem.
Cite
@article{arxiv.1806.03439,
title = {Maximal Tracial Algebras},
author = {Don Hadwin and Hassan Yousefi},
journal= {arXiv preprint arXiv:1806.03439},
year = {2018}
}
Comments
17 pages