A Necessary Condition for Zero Divisors in Complex Group Algebra of Torsion-Free Groups
Author(s):
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:
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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