Cartan semigroups and twisted groupoid C*-algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00635649" target="_blank" >RIV/67985840:_____/25:00635649 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jfa.2025.111038" target="_blank" >https://doi.org/10.1016/j.jfa.2025.111038</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2025.111038" target="_blank" >10.1016/j.jfa.2025.111038</a>

Result language
angličtina
Original language name
Cartan semigroups and twisted groupoid C*-algebras
Original language description
We prove that twisted groupoid C*-algebras are characterised, up to isomorphism, by having Cartan semigroups, a natural generalisation of normaliser semigroups of Cartan subalgebras. This extends the classic Kumjian-Renault theory to general twisted étale groupoid C*-algebras, even non-reduced C*-algebras of non-effective groupoids.
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
<a href="/en/project/GF22-07833K" target="_blank" >GF22-07833K: Homogeneity and Genericity of Metric Structures - Groups, Dynamical Systems, Banach Spaces and C*-Algebras</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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