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arXiv · 1210.2737

Ideal related K-theory with coefficients

Abstract

In this paper, we define an invariant, which we believe should be the substitute for total K-theory in the case when there is one distinguished ideal. Moreover, some diagrams relating the new groups to the ordinary K-groups with coefficients are constructed. These diagrams will in most cases help to determine the new groups, and will in a companion paper be used to prove a universal multi-coefficient theorem for the one distinguished ideal case for a large class of algebras.

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Søren Eilers, Gunnar Restorff, Efren Ruiz. 2012-10-09. Ideal related K-theory with coefficients. https://arxiv.org/abs/1210.2737

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