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math.OA2019★ 2 cited
Edwards' condition for quasitraces on C*-algebras
Ramon Antoine, Francesc Perera, Leonel Robert +1
We prove that Cuntz semigroups of C*-algebras satisfy Edwards' condition with respect to every quasitrace. This condition is a key ingredient in the study of the realization proble…
math.OA2019★ 14 cited
Cuntz semigroups of ultraproduct C*-algebras
Ramon Antoine, Francesc Perera, Hannes Thiel
We prove that the category of abstract Cuntz semigroups is bicomplete. As a consequence, the category admits products and ultraproducts. We further show that the scaled Cuntz semig…