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

TL;DR

This paper investigates the extremal points of convex sets of unbounded local completely positive and contractive maps on maximal tensor products of unital locally C*-algebras, expanding understanding of their structure.

Contribution

It characterizes the extremal marginals of unbounded local completely positive and contractive maps on maximal tensor products of unital locally C*-algebras.

Findings

Identification of extremal points in convex sets of such maps

Extension of extremal point theory to unbounded local maps

Insights into the structure of unbounded local completely positive maps

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.