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Your search keyword '"19B28, 19F05, 22B05, 18E35"' showing total 2 results
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2 results on '"19B28, 19F05, 22B05, 18E35"'

1. $K$-theory of locally compact modules over orders

Author

Braunling, Oliver, Henrard, Ruben, and van Roosmalen, Adam-Christiaan

Subjects
Mathematics - K-Theory and Homology, Mathematics - Number Theory, 19B28, 19F05, 22B05, 18E35
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., Comment: 8 pages. Comments welcome

Published
2020

2. $K$-theory of locally compact modules over orders

Author

Adam-Christiaan van Roosmalen, Oliver Braunling, Ruben Heradio, Braunling, Oliver, VAN ROOSMALEN, Adam-Christiaan, and HENRARD, Ruben

Subjects
Mathematics - Number Theory, General Mathematics, 19B28, 19F05, 22B05, 18E35, Mathematics - K-Theory and Homology, FOS: Mathematics, K-Theory and Homology (math.KT), Number Theory (math.NT)
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., Comment: 8 pages. Comments welcome

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