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http://hdl.handle.net/1942/32600
Title: | K-theory of locally compact modules over orders | Authors: | Braunling, Oliver HENRARD, Ruben VAN ROOSMALEN, Adam-Christiaan |
Issue Date: | 2021 | Publisher: | HEBREW UNIV MAGNES PRESS | Source: | ISRAEL JOURNAL OF MATHEMATICS, 246(1), p. 315-333 | Abstract: | We present a quick approach to computing the $K$-theory of the category of locally compact modules over any order in a semisimple $\mathbb{Q}$-algebra. We obtain the $K$-theory by first quotienting out the compact modules and subsequently the vector modules. Our proof exploits the fact that the pair (vector modules plus compact modules, discrete modules) becomes a torsion theory after we quotient out the finite modules. Treating these quotients as exact categories is possible due to a recent localization formalism. | Keywords: | Mathematics - K-Theory and Homology;Mathematics - Number Theory;19B28, 19F05, 22B05, 18E35 | Document URI: | http://hdl.handle.net/1942/32600 | Link to publication/dataset: | http://arxiv.org/abs/2006.10878v1 | ISSN: | 0021-2172 | e-ISSN: | 1565-8511 | DOI: | 10.1007/s11856-021-2247-5 | ISI #: | 000728460400001 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2022 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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2006.10878v1.pdf | Non Peer-reviewed author version | 199.88 kB | Adobe PDF | View/Open |
Braunling2021_Article_K-theoryOfLocallyCompactModule.pdf Restricted Access | Published version | 303.85 kB | Adobe PDF | View/Open Request a copy |
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