Reconstructing étale groupoids from semigroups

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00547544" target="_blank" >RIV/67985840:_____/21:00547544 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1515/forum-2021-0054" target="_blank" >https://doi.org/10.1515/forum-2021-0054</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/forum-2021-0054" target="_blank" >10.1515/forum-2021-0054</a>

Result language
angličtina
Original language name
Reconstructing étale groupoids from semigroups
Original language description
We unify various étale groupoid reconstruction theorems such as the following: Kumjian and Renault's reconstruction from a groupoid C∗-algebra, Exel's reconstruction from an ample inverse semigroup, Steinberg's reconstruction from a groupoid ring, Choi, Gardella and Thiel's reconstruction from a groupoid Lp{Lp-algebra. We do this by working with certain bumpy semigroups S of functions defined on an étale groupoid G. The semigroup structure of S together with the diagonal subsemigroup D then yields a natural domination relation {prec} on S. The groupoid of ≺ {prec}-ultrafilters is then isomorphic to the original groupoid G.
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/GX20-31529X" target="_blank" >GX20-31529X: Abstract convergence schemes and their complexities</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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