Ideal related K-theory with coefficients

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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
Original languageEnglish
JournalHouston Journal of Mathematics
Issue number2
Pages (from-to)403-458
Publication statusPublished - 2017

    Research areas

  • Extensions, classification, six term exact sequence, K-theory with coefficients, universal multi-coefficient theorem

ID: 186872524