Uniform K-theory, and Poincare duality for uniform K-homology
arXiv:1808.07911
Abstract
We revisit Spakula'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 Poincare duality between uniform K-theory and uniform K-homology on spin-c manifolds of bounded geometry.
Consists mostly of Sections 3 and 4 of the preprint arXiv:1502.00494 which was split up for easier publication. The latter arose out of the Ph.D. thesis arXiv:1410.8030 of the author. To appear in J. Funct. Anal