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arxiv: 1301.1491 · v3 · pith:O2CWADYXnew · submitted 2013-01-08 · 🧮 math.KT

Equivariant algebraic kk-theory and adjointness theorems

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keywords algebraicadjointnessequivariantkk-theorytheoremsactionalgebrascomputational
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We introduce an equivariant algebraic kk-theory for G-algebras and G-graded algebras. We study some adjointness theorems related with crossed product, trivial action, induction and restriction. In particular we obtain an algebraic version of the Green-Julg Theorem which gives us a computational tool.

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