Roy Araiza from Purdue University will be speaking.

The title is "An Abstract Characterization for Projections in Operator Systems."

The abstract is as follows:

"Given an abstract operator system V it is not clear how one would go about defining the notion of a projection. During this talk I will present an answer and some recent results on this question. This is done by first considering abstract compression operator systems associated with a positive contraction in V and then determining when we have a realization of V in such an abstract compression operator system. It then follows that there is a one-to-one correspondence between abstract and concrete projections, and in particular, that every abstract projection is a concrete projection in the C*-envelope of V. I will then conclude with some applications to quantum information theory. In particular, the study of certain correlation sets. This is joint work with Travis Russell (West Point)."

Location:	Zoom link provided on Math Seminars page [map]
Price:	free
Sponsor:	Department of Mathematics
Contact:	Department of Mathematics (517) 353-0844
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