CCR and CAR algebras are connected via a path of Cuntz-Toeplitz algebras

Alexey Kuzmin

For $q\in \mathbb{R}$, $|q|<1$ we consider the universal enveloping $C^{\ast }$-algebra of a $\ast$-algebra of $q$-canonical commutation relations ($q$-CCR), which is generated by $a_1,…