dc.contributor.author
Bosa, J.
dc.contributor.author
Perera, Francesc
dc.contributor.author
Wu, J.C.
dc.contributor.author
Zacharias, J.
dc.date.accessioned
2026-01-20T11:15:05Z
dc.date.available
2026-01-20T11:15:05Z
dc.date.issued
2025-11-15
dc.identifier.uri
http://hdl.handle.net/2072/489140
dc.description.abstract
We develop a theory of general quotients for W-and Cusemigroups 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.
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dc.description.sponsorship
JB was partially supported by the Spanish State Research Agency through Consolidacion Investigadora program No. CNS2022-135340 and the grant No. PID2020-113047GB-I00/AEI/10.13039/501100011033, and by the Dep. Ciencia, Universidad y sociedad del conocimiento del Gobierno de Aragon (grupo E22-23R). FP was partially supported by the Spanish Research State Agency (grant No. PID2020-113047GB-I00/AEI/10.13039/501100011033), by the Comissionat per Universitats i Recerca de la Generalitat de Catalunya (grant No. 2021-SGR-01015), and by the Spanish State Research Agency through the Severo Ochoa and Maria de Maztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M) . JW was partially supported by National Key R&D Program of China 2022YFA100700 and NSFC Key Program No. 12231005. JZ was partially supported by the Engineering and Physical Sciences Research Council Grant EP/I019227/2.
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dc.format.extent
61 p.
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dc.relation.ispartof
Linear Algebra and its Applications
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dc.rights
Attribution 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
*
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Cuntz semigroup
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dc.subject.other
General quotients of W-semigroups
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dc.subject.other
C*-algebras
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dc.subject.other
Crossed products
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dc.title
The dynamical Cuntz semigroup and ideal-free quotients of Cuntz semigroups
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.identifier.doi
10.1016/j.laa.2025.07.006
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
