162402 20251017144601.0 doi 10.1016/j.laa.2025.07.006 sideral 144985 ART-2025-144985 eng Bosa, Joan Universidad de Zaragoza (orcid)0000-0001-9442-1583 The dynamical Cuntz semigroup and ideal-free quotients of Cuntz semigroups 2025 Access copy available to the general public Unrestricted We develop a theory of general quotients for W- and Cu-semigroups beyond the case of quotients by ideals. To this end, we introduce the notion of a normal pair, which allows us to take quotients of W-semigroups in a similar way as normal subgroups arise as kernels of group homomorphisms. We use this to define the dynamical Cuntz semigroup as the universal object induced from an action of a group G on a W-semigroup. In the C*-algebraic framework, under mild assumptions, the universality of this dynamical invariant helps us tap into the structure of the Cuntz semigroup of crossed product C*-algebras. info:eu-repo/grantAgreement/ES/AEI/CEX2020-001084-M info:eu-repo/grantAgreement/ES/MCINN/PID2020-113047GB info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Perera, Francesc Wu, Jianchao Zacharias, Joachim 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 725 (2025), 248-308 Linear algebra appl. LINEAR ALGEBRA AND ITS APPLICATIONS 0024-3795 2629601 http://zaguan.unizar.es/record/162402/files/texto_completo.pdf Versión publicada 1598103 http://zaguan.unizar.es/record/162402/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:162402 articulos driver 2025-10-17-14:14:12 ARTICLE