| dc.contributor.author |
Gohm, Rolf |
|
| dc.date.accessioned |
2008-12-08T09:38:23Z |
|
| dc.date.available |
2008-12-08T09:38:23Z |
|
| dc.date.issued |
2003 |
|
| dc.identifier.citation |
Gohm , R 2003 , ' A probabilistic index for completely positive maps and an application ' Journal of Operator Theory , vol 54 , no. 2 , pp. 339-361 . |
en |
| dc.identifier.issn |
1841-7744 |
|
| dc.identifier.other |
PURE: 88852 |
|
| dc.identifier.other |
dspace: 2160/1423 |
|
| dc.identifier.uri |
http://hdl.handle.net/2160/1423 |
|
| dc.identifier.uri |
http://www.mathjournals.org/jot/2005-054-002/2005-054-002-009.pdf |
en |
| dc.description |
Gohm, Rolf, (2003) 'A probabilistic index for completely positive maps and an application', Journal of Operator Theory 54(2) pp.339-361 RAE2008 |
en |
| dc.description.abstract |
The probabilistic index of a completely positive map is defined in analogy with a formula of M. Pimsner and S. Popa for conditional expectations. As an application, we describe a new strategy for computing the Jones index of the range of certain endomorphisms. We use extended transition operators to associate to an endomorphism a unital completely positive map acting on a finite dimensional matrix algebra. Then the index to be computed equals the probabilistic index of this map. For a class of examples we get a complete classification. |
en |
| dc.format.extent |
23 |
en |
| dc.language.iso |
eng |
|
| dc.relation.ispartof |
Journal of Operator Theory |
en |
| dc.title |
A probabilistic index for completely positive maps and an application |
en |
| dc.type |
Text |
en |
| dc.type.publicationtype |
Article (Journal) |
en |
| dc.contributor.institution |
Institute of Mathematics & Physics (ADT) |
en |
| dc.contributor.institution |
Mathematics and Physics |
en |
| dc.description.status |
Peer reviewed |
en |