68 citations · 265 across the 25 of their papers we have counts for
7 papers · 1 filter
Homotopy theory with marked additive categories
Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1
We construct combinatorial model category structures on the categories of (marked) categories and (marked) pre-additive categories, and we characterize (marked) additive categories…
Transfers in coarse homology
Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1
We enlarge the category of bornological coarse spaces by adding transfer morphisms and introduce the notion of an equivariant coarse homology theory with transfers. We then show th…
Injectivity results for coarse homology theories
Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1
We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class o…
On the Hochschild homology of l^1-rapid decay group algebras
Alexander Engel
We show that for many semi-hyperbolic groups the decomposition into conjugacy classes of the Hochschild homology of the l^1-rapid decay group algebra is injective.
Uniform K-theory, and Poincare duality for uniform K-homology
Alexander Engel
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 m…
Index theorems for uniformly elliptic operators
Alexander Engel
We generalize Roe's index theorem for graded generalized Dirac operators on amenable manifolds to multigraded elliptic uniform pseudodifferential operators. The generalization will…