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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
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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

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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.