On stable finiteness of group rings

• Datum: 2018
• Hauptverfasser: Dykema, Ken, Juschenko, Kate
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Kaplansky’s Direct Finiteness Conjecture; stable finiteness; 20C07
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1174
• Назва журналу: Algebra and Discrete Mathematics

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 \(H\).