A K-theoretic relative index theorem and Callias-type Dirac operators.
Algebraic -theory of Fredholm modules and -theory.
Equivariant Euler characteristics and -homology Euler classes for proper cocompact -manifolds.
Ext classes and embeddings for -algebras of graphs with sinks.
Geometric -homolgy and controlled paths.
Presentations of subshifts and their topological conjugacy invariants.
Tiling systems and homology of lattices in tree products.