Finite domination and Novikov homology over strongly Z-graded rings

Thomas Huettemann; Luke Steers

doi:10.1007/s11856-017-1569-9

Finite domination and Novikov homology over strongly Z-graded rings

Thomas Huettemann, Luke Steers

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Abstract

Let L be a unital 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 to a bounded complex of finitely generated projective L0-modules, generalising known results for twisted Laurent polynomial rings. The crucial hypothesis is that L is a strongly graded ring.

Original language	English
Pages (from-to)	661–685
Journal	Israel Journal of Mathematics
Volume	221
Issue number	2
DOIs	https://doi.org/10.1007/s11856-017-1569-9
Publication status	Published - 22 Sep 2017

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Finite domination and Novikov homology over strongly Z-graded rings
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Huettemann, T., & Steers, L. (2017). Finite domination and Novikov homology over strongly Z-graded rings. Israel Journal of Mathematics, 221(2), 661–685. https://doi.org/10.1007/s11856-017-1569-9

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