Noncommutative Pierce duality between Steinberg rings and ample ringoid bundles

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00572039" target="_blank" >RIV/67985840:_____/23:00572039 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jpaa.2023.107407" target="_blank" >https://doi.org/10.1016/j.jpaa.2023.107407</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jpaa.2023.107407" target="_blank" >10.1016/j.jpaa.2023.107407</a>

Result language
angličtina
Original language name
Noncommutative Pierce duality between Steinberg rings and ample ringoid bundles
Original language description
Classic work of Pierce and Dauns-Hofmann shows that biregular rings are dual to simple ring bundles over Stone spaces. We extend this duality to Steinberg rings, a purely algebraic generalisation of Steinberg algebras, and ringoid bundles over ample groupoids. We base this largely on an even more general extension of Lawson's noncommutative Stone duality, specifically between Steinberg semigroups, a generalisation of Boolean inverse semigroups, and category bundles over ample 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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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