Pseudospaces, pseudogroups and pontriagin duality

摘要: The main result of the Gelfand Naima~k theory commutative C ~algebras can be stated in following way. category C'-algebras with unity and unital C'-homomorphisms is dual to compact topological spaces continuous maps. It not difficult extend this order include locally spaces. To end one has consider C'-algeb~as without unity. If A a space, then C.(A ) denotes C~-algebra all complex functions on tending 0 at infinity. In case maps from AI into correspond C~(A C(A I satisfying certain condition (condition (C) Section I) comparable that for