Título inglés | On Bott-periodic algebraic K-theory. |
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Título español | Teoría K algebraica periódica de Bott. |
Autor/es | Zaldívar, Felipe |
Organización | Dep. Mat. Univ. Autón. Metrop. I, México D.F., Méjico |
Revista | 0214-1493 |
Publicación | 1994, 38 (1): 213-225, 20 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | Let K*(A;Z/ln) denote the mod-ln algebraic K-theory of a Z[1/l]-algebra A. Snaith ([14], [15], [16]) has studied Bott-periodic algebraic theory Ki(A;Z/ln)[1/βn], a localized version of K*(A;Z/ln) obtained by inverting a Bott element βn. For l an odd prime, Snaith has given a description of K*(A;Z/ln)[1/βn] using Adams maps between Moore spectra. These constructions are interesting, in particular for their connections with Lichtenbaum-Quillen conjecture [16]. In this paper we obtain a description of K*(A;Z/2n)[1/βn], n ≥ 2, for an algebra A with 1/2 Î A and √-1 Î A. We approach this problem using low dimensional computations of the stable homotopy groups of BZ/4, and transfer arguments to show that a power of the mod-4 Bott element is induced by an Adams map. |
Clasificación UNESCO | 121007 |
Palabras clave español | Homotopía ; Topología algebraica ; Homología generalizada |
Código MathReviews | MR1291964 |
Acceso al artículo completo |