Field algebra of G-spin models can provide the simplest examples of lattice field theory exhibiting quantum symmetry. Let D(G) be the double algebra of a finite group G and D(H), a sub-algebra of D(G) determined by subgroup H of G. This paper gives concrete generators and the structure of the observable algebra A H, which is a D(H)-invariant sub-algebra in the field algebra of G-spin models F, and shows that A H is a C *-algebra. The correspondence between H and A H is strictly monotonic. Finally, a duality between D(H) and A H is given via an irreducible vacuum C *-representation of F.
假定 X 是一超级 -- 在 R (d) 的α - 马厩过程，(0 < α < 2 ) ，谁的分叉的率功能是 dt，并且分叉机制具有形式Ψ(z )= z (1+ β) 。让 X τ和 Y τ表示出口措施和全部的加权的职业时间在围住的光滑的领域 D 的 X 的措施分别地。X τ a nd Y τ的绝对连续性被讨论。给词调音：超级 -- α - 马厩过程；绝对连续性；出口措施；
