Abstract
We show that every (discrete) group ring D[G] of a free-by-amenable group G over a division ring D of arbitrary characteristic is stably finite, in the sense that one-sided inverses in all matrix rings over D[G] are two-sided. Our methods use Sylvester rank functions and the translation ring of an amenable group. © 2002 Elsevier Science (USA).
Original language | English |
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Pages (from-to) | 224-238 |
Journal | Advances in Mathematics |
Volume | 170 |
DOIs | |
Publication status | Published - 25 Sep 2002 |