A necessary condition for zero divisors in complex group algebra of torsion-free groups

2019/05/02 by Abdollahi, Alireza, Malekan, Meisam Soleimani
#16S34 #20C07 #46C07 #46L10 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1905.00951

Abstract

We find a necessary condition for zero divisors in complex group algebras of torsion-free groups.

Related

• Zero divisors with small supports in group algebras of torsion-free groups over a field
• Units, zero-divisors and idempotents in rings graded by torsion-free groups
• Zero divisor and unit elements with support of size 4 in group algebras of torsion free groups
• On Zero Divisors with Small Support in Group Rings of Torsion-Free Groups
• On zero-divisors and units in group rings of torsion-free CAT(0) groups