29 citations · 77 across the 7 of their papers we have counts for
4 papers · 1 filter
A note on the real coarse Baum-Connes conjecture
John Roe
We document some versions, in real K-theory, of well-known properties of the coarse assembly map in complex K-theory. These results are well-known, but difficult to find in the lit…
Positive curvature, partial vanishing theorems, and coarse indices
John Roe
Let M be a complete Riemannian manifold, D a Dirac-type operator on M whose Weitzenbock curvature is uniformly positive on the complement of a subset Z of M. We show that the coars…
Sheaf theory and Paschke duality
John Roe, Paul Siegel
Paschke duality identifies the K-homology of a space X with the K-theory of a certain dual C*-algebra. We show that Paschke's dual algebra is in a natural way the algebra of sectio…
Spaces with vanishing $l\sp 2$-homology and their fundamental groups (after Farber and Weinberger)
Nigel Higson, John Roe, Thomas Schick
The "zero in the spectrum conjecture" asserted (in its strongest form) that for any manifold M zero should be in the l2-spectrum of the Laplacian (on forms) of the universal coveri…