4 problems

Let $T$ be the operator of coefficients of a Wick algebra $W(T)$ on $d4c=\mathbb C^n$, and let $\mathcal{W}(T)=C^*(W(T))$ be its universal $C^*$-envelope. The operator $T$ is self-…

For a family of coefficients $T_{ij}^{kl}$, let $W(T)$ be the Wick $*$-algebra generated by $a_j,a_j^*$, and let $T\colon\mathcal H^{\otimes 2}\to\mathcal H^{\otimes 2}$ be its ope…

Let $T: \mathcal{H}^{\otimes 2} \rightarrow \mathcal{H}^{\otimes 2}$ be a self-adjoint braided operator with $\lVert T\rVert < 1$. The associated $C^*$-algebra is…

Let $\mathcal{H}$ be the Hilbert space underlying a Wick algebra, let $T$ be a braided operator on $\mathcal{H}^{\mathcal{\otimes}2}$, and let $R_m$ denote the corresponding Wick sy…