Tensor Products of C*-Algebras and States

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00381339" target="_blank" >RIV/68407700:21230/24:00381339 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/B978-0-323-95703-8.00004-5" target="_blank" >https://doi.org/10.1016/B978-0-323-95703-8.00004-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/B978-0-323-95703-8.00004-5" target="_blank" >10.1016/B978-0-323-95703-8.00004-5</a>

Result language
angličtina
Original language name
Tensor Products of C*-Algebras and States
Original language description
In this chapter we deal with the interplay between tensor products of two C*-algebras and properties of states and completely positive maps. After reviewing deep results on the existence of the maximal and the minimal C*-tensor norm, we describe state spaces of the minimal and the maximal tensor product. The main part of the chapter is devoted to discussion of nuclear pairs of C*-algebras and their characterizations in terms of the weak expectation property and the local lifting property. Various equivalent forms of Kirchberg’s famous conjecture are presented. Finally, we discuss the role of the tensor products in quantum physics (composed physical systems, independence of quantum systems, Tsirelson’s problem in quantum information theory).
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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