General linear and Steinberg groups over the Leavitt algebra $L_{{\mathbb{F}}_2}(1,2)$

Huynh Viet Khanh

Let $R=L_{\F_2}(1,2)$. We prove that $\GL_r(R)$ is integrally acyclic for every $r\ge 1$ and that the canonical map $\St_r(R)\to\GL_r(R)$ is an isomorphism for every $r\ge 3$. The…