The unitary Cuntz semigroup on the classification of non-simple C*-algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00571082" target="_blank" >RIV/67985840:_____/23:00571082 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2023.127003" target="_blank" >https://doi.org/10.1016/j.jmaa.2023.127003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2023.127003" target="_blank" >10.1016/j.jmaa.2023.127003</a>

Result language
angličtina
Original language name
The unitary Cuntz semigroup on the classification of non-simple C*-algebras
Original language description
This paper argues that the unitary Cuntz semigroup, introduced in [10] and termed Cu1, contains crucial information regarding the classification of non-simple C⁎-algebras. We exhibit two non-simple C⁎-algebras that agree on their K1-groups and their Cuntz semigroups (termed Cu) and yet disagree at level of their unitary Cuntz semigroups. In the process, we establish that the unitary Cuntz semigroup contains rigorously more information about non-simple C⁎-algebras than Cu and K1 alone.
Czech name
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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
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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