Noncommutative Lattices and Their Continuum Limits

Abstract

We consider finite approximations of a topological space M by noncommutative lattices of points. These lattices are structure spaces of noncommutativeC∗-algebras which in turn approximate the algebra C(M) of continuous functions on M . We show how to recover the space M and the algebra C(M) from a projective system of noncommutative lattices and an… (More)

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