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Cortias, G.; Thom, A. "Bivariant algebraic K-theory" (2007) Journal fur die Reine und Angewandte Mathematik(610):71-123
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Abstract:

We show how methods from K-theory of operator algebras can be applied in a completely algebraic setting to define a bivariant, M ∞ -stable, homotopy-invariant, excisive K-theory of algebras over a fixed unital ground ring H, (A, B) kk * (A, B), which is universal in the sense that it maps uniquely to any other such theory. It turns out kk is related to C. Weibel's homotopy algebraic K-theory, KH. We prove that, if H is commutative and A is central as an H-bimodule, then We show further that some calculations from operator algebra KK-theory, such as the exact sequence of Pimsner-Voiculescu, carry over to algebraic kk. © Walter de Gruyter 2007.

Registro:

Documento: Artículo
Título:Bivariant algebraic K-theory
Autor:Cortias, G.; Thom, A.
Filiación:Departamento Matemática, Ciudad Universitaria Pab 1, (1428) Buenos Aires, Argentina
Departamento Álgebra, Facultat de Ciencias, Prado de la Magdalena s/n, 47005 Valladolid, Spain
Mathematisches Institut, Bunsenstr. 3-5, 37073 Göttingen, Germany
Año:2007
Número:610
Página de inicio:71
Página de fin:123
DOI: http://dx.doi.org/10.1515/CRELLE.2007.068
Título revista:Journal fur die Reine und Angewandte Mathematik
Título revista abreviado:J. Reine Angew. Math.
ISSN:00754102
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00754102_v_n610_p71_Cortias

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Citas:

---------- APA ----------
Cortias, G. & Thom, A. (2007) . Bivariant algebraic K-theory. Journal fur die Reine und Angewandte Mathematik(610), 71-123.
http://dx.doi.org/10.1515/CRELLE.2007.068
---------- CHICAGO ----------
Cortias, G., Thom, A. "Bivariant algebraic K-theory" . Journal fur die Reine und Angewandte Mathematik, no. 610 (2007) : 71-123.
http://dx.doi.org/10.1515/CRELLE.2007.068
---------- MLA ----------
Cortias, G., Thom, A. "Bivariant algebraic K-theory" . Journal fur die Reine und Angewandte Mathematik, no. 610, 2007, pp. 71-123.
http://dx.doi.org/10.1515/CRELLE.2007.068
---------- VANCOUVER ----------
Cortias, G., Thom, A. Bivariant algebraic K-theory. J. Reine Angew. Math. 2007(610):71-123.
http://dx.doi.org/10.1515/CRELLE.2007.068