Geodesic
The Cuntz semigroup of unital commutative AI-algebras
Canadian journal of mathematics, Tome 75 (2023) no. 6, pp. 1831-1868

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DOI

We provide an abstract characterization for the Cuntz semigroup of unital commutative AI-algebras, as well as a characterization for abstract Cuntz semigroups of the form $\operatorname {\mathrm {Lsc}} (X,\overline {\mathbb {N}})$ for some $T_1$-space X. In our investigations, we also uncover new properties that the Cuntz semigroup of all AI-algebras satisfies.
DOI : 10.4153/S0008414X22000542
Mots-clés : C*-algebras, Cuntz semigroups, AI-algebras 
Vilalta, Eduard. The Cuntz semigroup of unital commutative AI-algebras. Canadian journal of mathematics, Tome 75 (2023) no. 6, pp. 1831-1868. doi: 10.4153/S0008414X22000542
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     author = {Vilalta, Eduard},
     title = {The {Cuntz} semigroup of unital commutative {AI-algebras}},
     journal = {Canadian journal of mathematics},
     pages = {1831--1868},
     year = {2023},
     volume = {75},
     number = {6},
     doi = {10.4153/S0008414X22000542},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X22000542/}
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