For scalable pairs of proper metric spaces, the continuous-functions functor and the relative uniform Roe functor are asymptotically adjoint, yielding Roe-algebra descriptions of E-theory and K-homology.
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Scalability and asymptotic adjunction
For scalable pairs of proper metric spaces, the continuous-functions functor and the relative uniform Roe functor are asymptotically adjoint, yielding Roe-algebra descriptions of E-theory and K-homology.