On simplicity of Cuntz algebra and its generalizations

Massoud Amini, Mahdi Moosazadeh

Cuntz algebra ${\mathcal{O}}_2$ is the universal $C^{\ast }$-algebra generated by two isometries $s_1,s_2$ satisfying $s_1{s}_1^{\ast }+s_2{s}_2^{\ast }=1$. This is separable, simple, infinite $C^{\ast }$-algeb…