Geodesic
On stable finiteness of group rings
Algebra and discrete mathematics, Tome 19 (2015) no. 1, pp. 44-47

Voir la notice de l'article provenant de la source Math-Net.Ru

For an arbitrary field or division ring $K$ and an arbitrary group $G$, stable finiteness of $K[G]$ is equivalent to direct finiteness of $K[G\times H]$ for all finite groups $H$.
Keywords: Kaplansky's Direct Finiteness Conjecture, stable finiteness. 
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K. Dykema; K. Juschenko. On stable finiteness of group rings. Algebra and discrete mathematics, Tome 19 (2015) no. 1, pp. 44-47. http://geodesic.mathdoc.fr/item/ADM_2015_19_1_a5/