A note on fixed points of completely positive maps
Gert K. Pedersen
math.OAarXiv:math/0308053
Abstract
It is shown that a fixed point of a completely positive map on a semi-finite von Neumann algebra must commute with the operators determining the map (the Lueders phenomenon) if the element is finite or has finite square.
Create a lesson
Related papers
Superselection theory for 2D braided quantum spin systems via Connes fusion
Gregory Faurot, Charlton Li, David Penneys et al.
A Transfinite Christensen--Pedersen Argument
Jananan Arulseelan
Toeplitz C*-algebras on radially weighted Fock spaces: commutativity and spectral representation
Khalid Bdarneh
Maximal Algebraic Ideals in Nonunital C*-Algebras
Zhichao Liu, Xin Ma
Quasidiagonal traces need not form a face
Mehdi Moradi
Cohomology of Amenable Traces
Mehdi Moradi