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The p-chain Spectral Sequence |
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| Authors: | James F Davis and Wolfgang Lück |
| Institution: | (1) Department of Mathematics, Indiana University, Blomington, IN, 47405, U.S.A.;(2) Fachbereich für Mathematik und Informatik, Westfälische Wilhelms-Universität, 48149 Münster, Einsteinstr. 62, Germany |
| Abstract: | We introduce a new spectral sequence called the p-chain spectral sequence which converges to the (co-)homology of a contravariant C-space with coefficients in a covariant C-spectrum for a small category C. It is different from the corresponding Atiyah–Hirzebruch-type spectral sequence. It can be used in combination with the Isomorphism Conjectures of Baum and Connes and Farrell and Jones to compute algebraic K- and L-groups of group rings and topological K-groups of reduced group C*-algebras. |
| Keywords: | spaces and spectra over a category p-chain spectral sequence K- and L-groups of group rings and group C*-algebras |
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