2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60246We consider an abstract Wick ordering as a family of relations on elements a_i and define *-algebras by these relations. The relations are given by a fixed operator T:h\otimes h --> h \otimes h, where h is one-particle space, and they naturally define both a *-algebra and an inner-product space H_T, <.,.>_T. If a_i^* denotes the adjoint, i.e., <a_iϕ,ψ>_T=<ϕ,a_i^*ψ>_T, then we identify when <.,.>_T is positive semidefinite (the positivity question). In the case of deformations of the CCR-relations (the q_{ij}-CCR and the twisted CCR's), we work out the universal C*-algebras A, and we prove that, in these cases, the Fock representations of the A's are faithful.9 pages, LaTeX2e document class "crckbked", NATO workshop proceedings (Kluwer) submissionQuantum AlgebraOperator Algebras46L55 (Primary), 81S05 (Secondary)A family of *-algebras allowing Wick ordering: Fock representations and universal enveloping $C^*$-algebrastext