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Cloning in C*-Algebras

Published online by Cambridge University Press:  15 December 2016

Krzysztof Kaniowski
Affiliation:
Faculty of Mathematics and Computer Science, Łódź University, ulica Stefana Banacha 22, 90-238 Łódź, Poland ([email protected]; [email protected]; [email protected])
Katarzyna Lubnauer
Affiliation:
Faculty of Mathematics and Computer Science, Łódź University, ulica Stefana Banacha 22, 90-238 Łódź, Poland ([email protected]; [email protected]; [email protected])
Andrzej Łuczak
Affiliation:
Faculty of Mathematics and Computer Science, Łódź University, ulica Stefana Banacha 22, 90-238 Łódź, Poland ([email protected]; [email protected]; [email protected])

Abstract

Cloneable sets of states in C*-algebras are characterized in terms of strong orthogonality of states. Moreover, the relation between strong cloning and distinguishability of states is investigated together with some additional properties of strong cloning in abelian C*-algebras.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2016 

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