Finite domination and Novikov homology over strongly Z-graded rings

Abstract

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.

22 pages; v2: changed example in introduction, and corrected minor misprints

Cited by in corpus (2)

• The algebraic $K$-theory of the projective line associated with a strongly $\mathbb{Z}$-graded ring
• Finite domination and Novikov homology over strongly ${\mathbb{Z}}^2$-graded rings