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Completely Positive Maps of the Cuntz Algebras

✍ Scribed by Rita Zuccante

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
303 KB
Volume
145
Category
Article
ISSN
0022-1236

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✦ Synopsis

We construct a covariant functor from the category whose objects are the complex, infinite dimensional, separable Hilbert spaces and whose morphisms are the contractions into the category whose objects are the unital C*-algebras and whose morphisms are the completely positive, identity-preserving maps. The C*-algebras involved are isomorphic to the Cuntz algebra O and our functor extends the canonical action of the group of unitaries on the generating Hilbert space. Our result cannot apply to O n , n< .

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