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

4 Citations (Scopus)

482 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 Sept 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.
Accepted author manuscript, 380 KBLicence: Unspecified

2 Oral presentation
1 Invited or keynote talk at national or international conference

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

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

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Thomas Huettemann
- t.huettemannqub.acuk
- School of Mathematics and Physics - Senior Lecturer
- Mathematical Sciences Research Centre
Person: Academic

4 Citations
3 Article

Finite domination and NOVIKOV homology over strongly Z²-graded rings
Hüttemann, T. & Steers, L., Dec 2024, In: Proceedings of the Royal Society of Edinburgh. Section A. Mathematics. 154, 6, p. 1786-1818 33 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
133 Downloads (Pure)
Non-commutative localisation and finite domination over strongly Z-graded rings
Hüttemann, T., 18 May 2022, In: Homology, Homotopy and Applications. 24, 1, p. 373-398 26 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
185 Downloads (Pure)
The algebraic K-theory of the projective line associated with a strongly Z-graded ring
Hüttemann, T. & Montgomery, T., Dec 2020, In: Journal of Pure and Applied Algebra. 224, 12, 20 p., 106425.
Research output: Contribution to journal › Article › peer-review

Open Access
File
2 Link opens in a new tab Citations (Scopus)

175 Downloads (Pure)

Cite this

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Finite domination and Novikov homology over strongly Z-graded rings

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