New York Journal of Mathematics
Volume 26 (2020), 656-687


Oliver Braunling

On the relative K-group in the ETNC, Part III

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Published: June 23, 2020.
Keywords: Equivariant Tamagawa number conjecture, ETNC, locally compact modules.
Subject: Primary 11R23 11G40; Secondary 11R65 28C10.

The previous papers in this series were restricted to regular orders. In particular, we could not handle integral group rings, one of the most interesting cases of the ETNC. We resolve this issue. We obtain versions of our main results valid for arbitrary non-commutative Gorenstein orders. This encompasses the case of group rings. The only change we make is using a smaller subcategory inside all locally compact modules.


The author was supported by DFG GK1821 "Cohomological Methods in Geometry".

Author information

Oliver Braunling:
Department of Mathematics
University of Freiburg
Ernst-Zermelo-Strasse 1, D-79104 Freiburg im Breisgau, Germany