Cones arising from C*-subalgebras and complete positivity Academic Article uri icon

abstract

  • AbstractLet B A be an inclusion of C*-algebras. Then B is said to norm A if, for each X ${\bb M}_n$(A), In this paper we introduce and study the cones These are shown to coincide with the standard positive cones precisely when B norms A, and we apply this to obtain automatic complete positivity of certain positive maps between C*-algebras.

published proceedings

  • MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

author list (cited authors)

  • Pop, F., & Smith, R. R.

citation count

  • 4

complete list of authors

  • Pop, Florin||Smith, Roger R

publication date

  • July 2008