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

Noncommutative lattices and their continuum limits

SPARANO, Giovanni;
1996-01-01

Abstract

We consider finite approximations of a topological space M by noncommutative lattices of points. These lattices are structure spaces of noncommutative C ∗-algebras which in turn approximate the algebra \cc(M) of continuous functions on M. We show how to recover the space M and the algebra \cc(M) from a projective system of noncommutative lattices and an inductive system of noncommutative C ∗-algebras, respectively.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/3385879
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