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arxiv: 1408.1639 · v2 · pith:FQIGQCYWnew · submitted 2014-08-07 · 🧮 math.KT

Algebraic quantum kk-theory

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keywords algebraicmathcalquantumactionadjointnessalgebrasdiscussduality
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Let $\mathcal{G}$ be an algebraic quantum group. We introduce an equivariant algebraic $kk$-theory for $\mathcal{G}$-module algebras. We study an adjointness theorem related with smash product and trivial action. We also discuss a duality property.

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