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
From page
189
To page
194
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)
Record number
2777242
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