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dc.contributor.author
Cortiñas, Guillermo Horacio  
dc.contributor.author
Abadie, Beatriz  
dc.date.available
2017-04-05T18:21:34Z  
dc.date.issued
2013-12  
dc.identifier.citation
Cortiñas, Guillermo Horacio; Abadie, Beatriz; Homotopy invariance through small stabilizations; Springer; Journal of homotopy and related structures; 10; 3; 12-2013; 459–493  
dc.identifier.issn
2193-8407  
dc.identifier.uri
http://hdl.handle.net/11336/14843  
dc.description.abstract
We associate an algebra Γ∞(A) to each bornological algebra A . Each symmetric ideal SS of the algebra ℓ∞ of complex bounded sequences gives rise to an ideal IS(A) of Γ∞(A) . We show that all ideals arise in this way when AA is the algebra of complex numbers. We prove that for suitable S , Weibel’s K -theory of IS(A) is homotopy invariant, and show that the failure of the map from Quillen’s to Weibel’s K -theory of IS(A) to be an isomorphism is measured by cyclic homology.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Homotopy Invariance  
dc.subject
Calkin'S Theorem  
dc.subject
Operator Ideals  
dc.subject
Inverse Semigroup Crossed Products  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Homotopy invariance through small stabilizations  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-04-05T15:11:32Z  
dc.identifier.eissn
1512-2891  
dc.journal.volume
10  
dc.journal.number
3  
dc.journal.pagination
459–493  
dc.journal.pais
Alemania  
dc.journal.ciudad
Berlín  
dc.description.fil
Fil: Cortiñas, Guillermo Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina  
dc.description.fil
Fil: Abadie, Beatriz. Universidad de la República; Uruguay  
dc.journal.title
Journal of homotopy and related structures  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007/s40062-013-0069-9  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1007/s40062-013-0069-9