2014/04/11 by Liam Dickson, Dickson, Liam
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA
paper · pdf · doi:10.48550/arxiv.1404.3070
Minor changes. To appear in Internat. J. Math
arxiv created 2014/08/20 · arxiv updated 2014/08/21
In this paper we introduce a row version of Kadison and Kastler's metric on the set of C*-subalgebras of \mathbbB(H). By showing C*-algebras have row length (in the sense of Pisier) of at most 2 we show that the row metric is equivalent to the original Kadison Kastler metric. Ino and Watatani have recently proved that in certain circumstances sufficiently close intermediate C*-algebras occur as small unitary perturbations. By adjusting their arguments to work with the row metric we are able to obtain universal constants independent of inclusions.