The obstruction to excision in K-theory and in cyclic homology

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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 bire...

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Autor principal: Cortiñas, G.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Springer New York 2006
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100 1 |a Cortiñas, G. 
245 1 4 |a The obstruction to excision in K-theory and in cyclic homology 
260 |b Springer New York  |c 2006 
270 1 0 |m Cortiñas, G.; Departamento de Álgebra, Facultad de Ciencias, Universidad de Valladolid, Prado de la Magdalena s/n, (47005) Valladolid, Spain; email: gcorti@dm.uba.ar 
506 |2 openaire  |e Política editorial 
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520 3 |a 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.  |l eng 
593 |a Departamento de Matemática, Ciudad Universitaria Pab 1, 1428 Buenos Aires, Argentina 
593 |a Departamento de Álgebra, Facultad de Ciencias, Universidad de Valladolid, Prado de la Magdalena s/n, (47005) Valladolid, Spain 
773 0 |d Springer New York, 2006  |g v. 164  |h pp. 143-173  |k n. 1  |p Invent. Math.  |x 00209910  |w (AR-BaUEN)CENRE-129  |t Inventiones Mathematicae 
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