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

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

148 Downloads (Pure)

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
Copyright 2016 Springer This work is made available online in accordance with the publisher’s policies. Please refer to any applicable terms of use of the publisher.
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2 Oral presentation
1 Invited or keynote talk at national or international conference

The algebraic theory of finite domination
Thomas Huettemann (Invited speaker)
21 Jan 2019
Activity: Talk or presentation types › Invited or keynote talk at national or international conference
Finite domination: from topology to graded algebra
Thomas Huettemann (Speaker)
15 Mar 2019
Activity: Talk or presentation types › Oral presentation
Toric varieties, Novikov homology and finiteness conditions for chain complexes
Thomas Huettemann (Speaker) & Silvia Sabatini (Organiser)
11 Jul 2018
Activity: Talk or presentation types › Oral presentation

Algebraic finite domination
Author: Steers, L., Sep 2017
Supervisor: Huettemann, T. (Supervisor) & Shkarin, S. (Supervisor)
Student thesis: Doctoral Thesis › Doctor of Philosophy

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Thomas Huettemann
- t.huettemann@qub.ac.uk
- School of Mathematics and Physics - Senior Lecturer
- Mathematical Sciences Research Centre
Person: Academic

Cite this

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Finite domination and Novikov homology over strongly Z-graded rings

Abstract

Access to Document

The algebraic theory of finite domination

Finite domination: from topology to graded algebra

Toric varieties, Novikov homology and finiteness conditions for chain complexes

Algebraic finite domination

Thomas Huettemann

Cite this