Finite domination and Novikov homology over strongly Z-graded rings
classification
🧮 math.KT
math.AT
keywords
boundedcomplexfinitelygeneratedringsstronglyz-gradedchain
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Let L be a strongly Z-graded ring, and let C be a bounded chain complex of finitely generated L-modules. We give a homological characterisation of when C is homotopy equivalent, over L_0, to a bounded complex of finitely generated projective L_0-modules, generalising known results for twisted Laurent polynomial rings.
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