Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules

Details Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules

2003-11-07

arxiv.org/abs/math/0311110v2

Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8 (291--305) 2005

Mathematics

Operator Algebras

To appear in Infinite Dimensional Analysis and Quantum Probability 2005. This version replaces the first one submitted under t

Scientific paper

We apply Hilbert module methods to show that normal completely positive maps admit weak tensor dilations. Appealing to a duality between weak tensor dilations and extensions of CP-maps, we get an existence proof for certain extensions. We point out that this duality is part of a far reaching duality between a von Neumann bimodule and its commutant in which also other dualities, known and new, find their natural common place.

Affiliated with

Also associated with

No associations

Rating

Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-342934