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arxiv: 1609.06690 · v2 · pith:FD2C4VVMnew · submitted 2016-09-21 · 🧮 math.KT · math.OA

Localization C*-algebras and K-theoretic duality

classification 🧮 math.KT math.OA
keywords algebraslocalizationanalysisappropriateasymptoticallycommutecompactduality
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Based on the localization algebras of Yu, and their subsequent analysis by Qiao and Roe, we give a new picture of KK-theory in terms of time-parametrized families of (locally) compact operators that asymptotically commute with appropriate representations.

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