Title: Stinespring dilation theorem and its applications.
Date and time: 19 February, 2025. 4:20 pm - 5 pm
Venue: Class room 113 (Mathematics Department)
Abstract: Stinespring's dilation theorem is a fundamental result in
operator algebra, stating that every completely positive (CP) map on a
C*-algebra can be realized as the compression of a *-homomorphism on an
extended Hilbert space.
In this talk, I will begin with a brief overview of completely positive
maps, illustrating their significance with examples. We will then outline
key steps in the proof of Stinespring’s theorem and explicitly construct
Stinespring representations for certain CP maps. Additionally, we will
discuss the unitary equivalence of minimal Stinespring representations and
see how the theorem generalizes the GNS construction.