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arXiv · 2303.10744

Multiplicative groups of Leavitt path algebras

Bui Xuan Hai·Huynh Viet Khanh
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Abstract

In this paper, we prove that the multiplicative group of a unital non-commutative Leavitt path algebra $L_K(E)$ and Cohn path algebra $C_K(E)$ contain a non-cyclic free subgroup, provided $K$ is a non-absolute field. We also provide a description of the generators of free subgroups in term of the graph $E$. Finally, we determine multiplicative groups of Leavitt path algebras of some special types.

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Bui Xuan Hai, Huynh Viet Khanh. 2023-03-19. Multiplicative groups of Leavitt path algebras. https://arxiv.org/abs/2303.10744

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