# Uniform K-homology theory

@inproceedings{pakula2009UniformKT, title={Uniform K-homology theory}, author={J{\'a}n {\vS}pakula}, year={2009} }

We define a uniform version of analytic K-homology theory for separable, proper metric spaces. Furthermore, we define an index map from this theory into the K-theory of uniform Roe C∗-algebras, analogous to the coarse assembly map from analytic K-homology into the K-theory of Roe C∗-algebras. We show that our theory has a Mayer–Vietoris sequence. We prove that for a torsion-free countable discrete group Γ, the direct limit of the uniform K-homology of the Rips complexes of Γ, limd→∞K*u(PdΓ), is… CONTINUE READING

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