A Necessary Condition for Zero Divisors in Complex Group Algebra of Torsion-Free Groups

Author(s):

Alireza Abdollahi , Meisam Soleimani Malekan*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

It is proved that if $sum_{gin G} a_g g$ is a non-zero zero divisor element of the complex group  algebra $mathbb{C}G$ of a torsion-free group G then  $2sum_{gin G} |a_g|^2<big( sum_{gin G} |a_g|big)^2$.

Keywords:

Hilbert Space $Ell^2(G)$ , Complex Group Algebras , Zero Divisor Conjecture , Torsion-Free Groups

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:19 Issue: 2, Nov 2024
Pages:
189 to 194
https://www.magiran.com/p2761617  
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