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Abstract:

Let f: A → B be a ring homomorphism of not necessarily unital rings and I A an ideal which is mapped by f isomorphically to an ideal of B. The obstruction to excision in K-theory is the failure of the map between relative K-groups K *(A:I)→K *(B:f(I)) to be an isomorphism; it is measured by the birelative groups K *(A,B:I) . Similarly the groups HN *(A,B:I) measure the obstruction to excision in negative cyclic homology. We show that the rational Jones-Goodwillie Chern character induces an isomorphism ch *:K *(A,B:I)⊗ ℚ →simHN * A ⊗ℚ,B ⊗ℚ:I ⊗ℚ.

Registro:

Documento: Artículo
Título:The obstruction to excision in K-theory and in cyclic homology
Autor:Cortiñas, G.
Filiación:Departamento de Matemática, Ciudad Universitaria Pab 1, 1428 Buenos Aires, Argentina
Departamento de Álgebra, Facultad de Ciencias, Universidad de Valladolid, Prado de la Magdalena s/n, (47005) Valladolid, Spain
Año:2006
Volumen:164
Número:1
Página de inicio:143
Página de fin:173
DOI: http://dx.doi.org/10.1007/s00222-005-0473-9
Título revista:Inventiones Mathematicae
Título revista abreviado:Invent. Math.
ISSN:00209910
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00209910_v164_n1_p143_Cortinas

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Citas:

---------- APA ----------
(2006) . The obstruction to excision in K-theory and in cyclic homology. Inventiones Mathematicae, 164(1), 143-173.
http://dx.doi.org/10.1007/s00222-005-0473-9
---------- CHICAGO ----------
Cortiñas, G. "The obstruction to excision in K-theory and in cyclic homology" . Inventiones Mathematicae 164, no. 1 (2006) : 143-173.
http://dx.doi.org/10.1007/s00222-005-0473-9
---------- MLA ----------
Cortiñas, G. "The obstruction to excision in K-theory and in cyclic homology" . Inventiones Mathematicae, vol. 164, no. 1, 2006, pp. 143-173.
http://dx.doi.org/10.1007/s00222-005-0473-9
---------- VANCOUVER ----------
Cortiñas, G. The obstruction to excision in K-theory and in cyclic homology. Invent. Math. 2006;164(1):143-173.
http://dx.doi.org/10.1007/s00222-005-0473-9