Equivariant coarse homotopy theory and coarse algebraic K-homology

  title={Equivariant coarse homotopy theory and coarse
 algebraic K-homology},
  author={Ulrich Bunke and Alexander Engel and Daniel Kasprowski and Christoph Winges},
We study equivariant coarse homology theories through an axiomatic framework. To this end we introduce the category of equivariant bornological coarse spaces and construct the universal equivariant coarse homology theory with values in the category of equivariant coarse motivic spectra. As examples of equivariant coarse homology theories we discuss equivariant coarse ordinary homology and equivariant coarse algebraic K-homology. Moreover, we discuss the cone functor, its relation with… Expand
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