A Kadison Kastler row metric and intermediate subalgebras

Dickson, L. (2014) A Kadison Kastler row metric and intermediate subalgebras. International Journal of Mathematics, 25(8), p. 1450082. (doi: 10.1142/S0129167X14500827)

Abstract

In this paper, we introduce a row version of Kadison and Kastler's metric on the set of C*-subalgebras of B(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.

• Item Type: Articles
• Additional Information: Electronic version of an article published as International Journal of Mathematics 25(8):1450082 DOI: 10.1142/S0129167X14500827 © copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijm
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Dickson, Mr Liam
• Authors: Dickson, L.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: International Journal of Mathematics
• Journal Abbr.: IJM
• Publisher: World Scientific Publishing
• ISSN: 0129-167X
• ISSN (Online): 1793-6519
• Copyright Holders: Copyright © 2014 World Scientific Publishing
• First Published: First published in International Journal of Mathematics 25(8):1450082
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher.