Venue
Mathematics Seminar Room
Speaker
Anil Kumar Karn
Affiliation
NISER, SMS
Title
A model for non-commutative vector lattices
We shall begin with a characterization of algebraic orthogonality in C^*-algebras in terms of order and norm. We apply this chacterization to propose a model of ``Absolutely ordered spaces'' which turns out to be a vector lattice under `commutative' conditions. This model suits to operator algebras and has potential to be applicable in quantum theory.