Abstract: We will talk about states and state spaces of partially ordered abelian groups with an order unit. A state on a partially ordered abelian group with order unit (G,u) is a positive homomorphism (a group homomorphism that takes positive elements to positive elements) from G to the real numbers with natural ordering such that u is mapped to 1. We will also see state spaces in general, i.e., we will talk about the collection of all states on (G,u) and will try to see the effects on the state space of changing the order unit.
Friday, November 26 · 4:00 – 5:00pm
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