Lambda Module structure on higher KK-groups

preprint2024arXivOpen access

Abstract

In this article, we show that for a quasicompact scheme XX and n>0,n>0, the nn-th KK-group Kn(X)K_{n}(X) is a λλ-module over a λλ-ring K0(X)K_{0}(X) in the sense of Hesselholt.

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