Extremal marginals of an unbounded local completely positive and local completely contractive map

Abstract

In this paper we consider the unbounded local completely positive and local completely contractive maps on maximal tensor product of unital locally C*-algebras and discuss on extremal points of certain convex subsets in the set of such maps.

arXiv commentThe proof of Propositions 3.2 has been corrected. Also the proof of Proposition 4.3 has been corrected