K-theory of locally compact modules over orders

Oliver Braunling*, Ruben Henrard, Adam Christiaan van Roosmalen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We present a quick approach to computing the K-theory of the category of locally compact modules over any order in a semisimple 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.

Original languageEnglish
Pages (from-to)315-333
Number of pages19
JournalIsrael Journal of Mathematics
Issue number1
Publication statusPublished - Dec 2021
Externally publishedYes


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