Type: Article
A Necessary Condition for Zero Divisors in Complex Group Algebra of Torsion-Free Groups
Journal: Iranian Journal Of Mathematical Sciences And Informatics (20089473)Year: September 2024Volume: 19Issue: Pages: 189 - 194
Abdollahi A.aMalekan M.S.
Abstract
It is proved that if ∑g∈Gagg is a non-zero zero divisor element of the complex group algebra ℂG of a torsion-free group G then2∑g∈G|ag|2 < (∑g∈G|ag|)2. © 2024 Academic Center for Education, Culture and Research TMU.
Author Keywords
Complex group algebrasHilbert space ℓ2 (G)Torsion-free groupsZero divisor conjecture