ON REPRESENTATIONS OF FINITE-TYPE

Representations of the (infinite) canonical anticommutation relations and the associated operator algebra, the fermion algebra, are studied. A ''coupling constant'' (in (0, 1]) is defined for primary states of ''finite type'' of that algebra. primary, faithful states of finite ty pe with arbitrary coupling are constructed and classified. Their physi cal significance for quantum thermodynamical systems at high temperatu res is discussed, The scope of this study is broadened to include a La rge class of operator algebras sharing some of the structural properti es of the fermion algebra.