Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T21:17:22.820Z Has data issue: false hasContentIssue false
  • English
  • Français

A COUNTEREXAMPLE TO A CONJECTURE OF AKEMANN AND ANDERSON

Published online by Cambridge University Press:  24 March 2003

NIK WEAVER
NIK WEAVER
Affiliation:
Mathematics Department, Washington University, St. Louis, MO 63130, USAnweaver@math.wustl.edu
Get access

Abstract

Akemann and Anderson made a conjecture about ‘paving’ projections in finite-dimensional matrix algebras which, if true, would settle the well-known Kadison–Singer problem. Their conjecture is falsified in this paper by an explicit sequence of counterexamples.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 1 , January 2003 , pp. 65 - 71
Copyright
© The London Mathematical Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Partially supported by NSF grant DMS-0070634