The authors define a class of groups for which Gorenstein projective, flat, and injective modules over the group algebra behave as their classical counterparts, and prove this class is closed under Kropholler's LH and Talelli's Phi operations.
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Total acyclicity of complexes over group algebras
The authors define a class of groups for which Gorenstein projective, flat, and injective modules over the group algebra behave as their classical counterparts, and prove this class is closed under Kropholler's LH and Talelli's Phi operations.