2 problems

Let $A_{\{q_{ij}\}}$ be the universal $C^*$-algebra associated with the $q_{ij}$-canonical commutation relations … The algebra is studied through its representations, in particular…

Let $b^*(k)$ and $b(k)$ be the particle-hole creation and annihilation operators, and let $\Omega$ denote the vacuum vector. The operators $b^*(k)$ commute pairwise, and the vacuum…