On generalized universal irrational rotation algebras and the operator $u+v$

Junsheng Fang, Chunlan Jiang, Huaxin Lin +1

We introduce a class of generalized universal irrational rotation $C^{\ast }$-algebras $A_{\theta ,\gamma }=C^{\ast }(x,w)$ which is characterized by the relations $w^{\ast }w=w{w}^{\ast }=1$, $x^{\ast }x=\gamma (w)$, $xx^*=γ(e^{-…