Bornological coarse spaces are "large scale" generalizations of metric spaces (up to quasi-isometry). Homological invariants of such spaces are given by coarse homology theories, which are functors from the category of bornological coarse spaces to a stable cocomplete ∞-category, satisfying additional axioms. Among the main examples of coarse homology theories, there are coarse versions of ordinary homology, of topological

and algebraic K-theory. In the talk we define G-equivariant coarse versions of the classical Hochschild and cyclic homologies of algebras. If k is a field, the evaluation at the one point space induces equivalences with the classical Hochschild and cyclic... more

and algebraic K-theory. In the talk we define G-equivariant coarse versions of the classical Hochschild and cyclic homologies of algebras. If k is a field, the evaluation at the one point space induces equivalences with the classical Hochschild and cyclic... more