Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-27T22:43:25.813Z Has data issue: false hasContentIssue false
  • English
  • Français

The Curvature and Index of Completely Positive Maps

Published online by Cambridge University Press:  23 October 2003

Paul S. Muhly  and
Baruch Solel
Paul S. Muhly
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA. E-mail: muhly@math.uiowa.edu
Baruch Solel
Affiliation:
Department of Mathematics, Technion, 32000 Haifa, Israel. E-mail: mabaruch@techunix.technion.ac.il
Get access

Abstract

We study conjugacy invariants for completely positive maps that are inspired by the concept of curvature introduced for commuting d-tuples of contractions by Arveson.

Keywords

completely positive mapcurvature46L5346L5546L5746L8747L5546L0746L08
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 87 , Issue 3 , November 2003 , pp. 748 - 778
Copyright
2003 London Mathematical Society

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

The research of the first author was supported by grants from the U.S. National Science Foundation and from the U.S.-Israel Binational Science Foundation. The research of the second author was supported by the U.S.-Israel Binational Science Foundation and the Fund for the Promotion of Research at the Technion.