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arXiv · 2204.02176

On the Idempotent Conjecture for Sidki Doubles

Indira Chatterji·Guido Mislin
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Abstract

Let $G$ be a group and $X(G)$ its Sidki Double. The idempotent conjecture says that there should be no non-trivial idempotent in the complex group ring of a torsion-free group. We investigate this conjecture for the Sidki double of a torsion-free group, and obtain a partial result.

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Indira Chatterji, Guido Mislin. 2022-04-05. On the Idempotent Conjecture for Sidki Doubles. https://arxiv.org/abs/2204.02176

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