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Abstract:

We associate an algebra (Formula presented.) to each bornological algebra (Formula presented.). Each symmetric ideal (Formula presented.) of the algebra (Formula presented.) of complex bounded sequences gives rise to an ideal (Formula presented.) of (Formula presented.). We show that all ideals arise in this way when (Formula presented.) is the algebra of complex numbers. We prove that for suitable (Formula presented.) , Weibel’s (Formula presented.) -theory of (Formula presented.) is homotopy invariant, and show that the failure of the map from Quillen’s to Weibel’s (Formula presented.) -theory of (Formula presented.) to be an isomorphism is measured by cyclic homology. © 2013, Tbilisi Centre for Mathematical Sciences.

Registro:

Documento: Artículo
Título:Homotopy invariance through small stabilizations
Autor:Abadie, B.; Cortiñas, G.
Filiación:Facultad de Ciencias, Centro de Matemática, Universidad de la República, Iguá 4225, Montevideo, 11400, Uruguay
Department of Matemática-IMAS, FCEyN-UBA, Ciudad Universitaria Pab 1, Buenos Aires, 1428, Argentina
Palabras clave:Calkin’s theorem; Crossed product; K-theory; Karoubi’s cone; Operator ideal
Año:2015
Volumen:10
Número:3
Página de inicio:459
Página de fin:493
DOI: http://dx.doi.org/10.1007/s40062-013-0069-9
Título revista:Journal of Homotopy and Related Structures
Título revista abreviado:J. Homotopy Related Struct.
ISSN:15122891
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15122891_v10_n3_p459_Abadie

Referencias:

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Citas:

---------- APA ----------
Abadie, B. & Cortiñas, G. (2015) . Homotopy invariance through small stabilizations. Journal of Homotopy and Related Structures, 10(3), 459-493.
http://dx.doi.org/10.1007/s40062-013-0069-9
---------- CHICAGO ----------
Abadie, B., Cortiñas, G. "Homotopy invariance through small stabilizations" . Journal of Homotopy and Related Structures 10, no. 3 (2015) : 459-493.
http://dx.doi.org/10.1007/s40062-013-0069-9
---------- MLA ----------
Abadie, B., Cortiñas, G. "Homotopy invariance through small stabilizations" . Journal of Homotopy and Related Structures, vol. 10, no. 3, 2015, pp. 459-493.
http://dx.doi.org/10.1007/s40062-013-0069-9
---------- VANCOUVER ----------
Abadie, B., Cortiñas, G. Homotopy invariance through small stabilizations. J. Homotopy Related Struct. 2015;10(3):459-493.
http://dx.doi.org/10.1007/s40062-013-0069-9