Maria Joita

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The crossed products of locally C *-algebras are defined and a Takai duality theorem for inverse limit actions of a locally compact group on a locally C *-algebra is proved. 1 Introduction Locally C *-algebras are generalizations of C *-algebras. Instead of being given by a single C *-norm, the topology on a locally C *-algebra is defined by a directed(More)
The order relation on the set of completely n-positive linear maps from a pro-C *-algebra A to L(H), the C *-algebra of bounded linear operators on a Hilbert space H, is characterized in terms of the representation associated with each completely n-positive linear map. Also, the pure elements in the set of all completely n-positive linear maps from A to(More)