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arxiv: 1208.6355 · v1 · pith:EMREAC4Fnew · submitted 2012-08-31 · 🧮 math.KT · math.AT· math.OA

The K\"unneth Theorem in equivariant K-theory for actions of a cyclic group of order 2

classification 🧮 math.KT math.ATmath.OA
keywords equivariantk-theorycyclicgroupordertheoremunnethwhen
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The K\"unneth Theorem for equivariant (complex) K-theory K^*_G, in the form developed by Hodgkin and others, fails dramatically when G is a finite group, and even when G is cyclic of order 2. We remedy this situation in this very simplest case G = Z/2 by using the power of RO(G)-graded equivariant K-theory.

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