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$$G $$ G -theory of $$\mathbb F_1$$ F 1 -algebras I: the equivariant Nishida problem

Mahanta, Snigdhayan



Abstract

We develop a version of -theory for an -algebra (i.e., the -theory of pointed G-sets for a pointed monoid G) and establish its first properties. We construct a Cartan assembly map to compare the Chu-Morava -theory for finite pointed groups with our -theory. We compute the -theory groups for finite pointed groups in terms of stable homotopy of some classifying spaces. We introduce certain ...

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