Answer by Adrián González Pérez for Relation between tracial norm and...
I think this observation may lead to a solution of the first question. Notice that $\mathcal{A} \subset L^2(\mathcal{A})$ is dense and thatIf it holds that, given $S \subset \mathcal{A} \subset...
View ArticleAnswer by Mateusz Wasilewski for Relation between tracial norm and operator...
This is only a partial answer. I will show that (1) and (2) are equivalent. Since the left regular representation is isometric, I will forget about $L$ and I will simply denote the operator norm by...
View ArticleRelation between tracial norm and operator norm on a von Neumann algebra
First, let me preface this by saying that I am fairly new to the wide field of (finite) von Neumann algebras. In my studies of $L^2$-invariants, I am mostly concerned with Group von Neumann algebras,...
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