Maximal Tracial Algebras

2018/06/09 by Don Hadwin, Hadwin, Don, Hassan Yousefi +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1806.03439

17 pages

arxiv created 2018/06/09 · arxiv updated 2018/06/12

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.

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