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CANCELLED On K-theories of monoids

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KAHW02 - Algebraic K-theory, motivic cohomology and motivic homotopy theory

Sets with actions by a monoid A are a non-linear analogue of categories of modules, and can be used to define various flavours of K-theory of the monoid in question. K-theory (using projective A-sets) and G-theory (using finitely generated ones) have been previously studied, but do not relate in the expected way. I will discuss joint work with Weibel clarifying why this is the case, and introducing an intermediate category of A-sets whose K-theory exhibits the behaviour analogous to that of the K-theory of finitely generates modules in the linear context




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