Uniform K-theory, and Poincaré duality for uniform K-homology.

Abstract We revisit Špakula's uniform K -homology, construct the external product for it and use this to deduce homotopy invariance of uniform K -homology. We define uniform K -theory and on manifolds of bounded geometry we give an interpretation of it via vector bundles of bounded geometry. We further construct a cap product with uniform K -homology and prove Poincaré duality between uniform K -theory and uniform K -homology on spin c manifolds of bounded geometry. [ABSTRACT FROM AUTHOR]