Random amenable C*-algebras
Abstract
What is the probability that a random UHF algebra is of infinite type? What is the probability that a random simple AI algebra has at most k extremal traces? What is the expected value of the radius of comparison of a random Villadsen-type AH algebra? What is the probability that such an algebra is Z-stable? What is the probability that a random Cuntz-Krieger algebra is purely infinite and simple, and what can be said about the distribution of its K-theory? By constructing C*-algebras associated with suitable random (walks on) graphs, we provide context in which these are meaningful questions with computable answers.
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