Title of article :
A Necessary Condition for Zero Divisors in Complex Group Algebra of Torsion-Free Groups
Author/Authors :
Abdollahi ، Alireza Department of Pure Mathematics - Faculty of Mathematics and Statistics - University of Isfahan , Soleimani Malekan ، Meisam Department of Mathematics - Faculty of Science - Shahid Rajaee Teacher Training University
Abstract :
It is proved that if ∑ g∈G agg is a non-zero zero divisor element of the complex group algebra CG of a torsion-free group G then 2 ∑ g∈G |ag|² |(∑ g∈G |ag|)²|.
Keywords :
Hilbert space ℓ² (G) , Complex group algebras , Zero divisor conjecture , Torsion , free groups
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
