On the central Haagerup tensor product and completely bounded mappings of a C*-algebra,
Citation:
Robert J. Archbold, Douglas W. B. Somerset, Richard M. Timoney, On the central Haagerup tensor product and completely bounded mappings of a C*-algebra,, Journal of Functional Analysis, 226, 2, 2005, 406, 428Download Item:
Archbold-2005-On the central Haage.pdf (Published (publisher's copy)) 314.0Kb
Abstract:
We consider the natural contractive map from the central Haagerup tensor product of a unital C*-algebra A with itself to the space of completely bounded maps CB ( A ) on A. We establish the necessity of the known sufficient condition for isometry of the map, namely that all Glimm ideals of A are primal. However, when the map is restricted to tensors with length bounded by a fixed quantity, a weaker necessary and sufficient condition is established.
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http://people.tcd.ie/rtimoneyDescription:
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Author: TIMONEY, RICHARD
Type of material:
Journal ArticleSeries/Report no:
Journal of Functional Analysis;226;
2;
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Full text availableKeywords:
Glimm ideal, Primal ideal, Matrix numerical rangeLicences: