Operational independence and tensor products of C*-algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F17%3A00311483" target="_blank" >RIV/68407700:21230/17:00311483 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4978869" target="_blank" >http://dx.doi.org/10.1063/1.4978869</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4978869" target="_blank" >10.1063/1.4978869</a>

Result language
angličtina
Original language name
Operational independence and tensor products of C*-algebras
Original language description
Complete C*-independence of operator algebras is introduced. Equivalent characterization is given for C*-subalgebras to be completely independent in terms of maximal tensor product. Besides, the independence of Banach algebras is considered, and we showed that Hahn-Banach independence is a generalization of C*-independence and discussed Hahn-Banach independence in M-n(A), where A is a C*-algebra. Among others, we characterize independence of operator algebras by projective and injective C*-tensor product in terms of simultaneous extensions of completely positive maps. Published by AIP Publishing.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences

Project
<a href="/en/project/GAP201%2F12%2F0290" target="_blank" >GAP201/12/0290: Topological and geometrical properties of Banach spaces and operator algebras</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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