- 95-434 Bimonte G., Ercolessi E., Landi G., Lizzi F., Sparano G., Teotonio-Sobrinho P.
- NONCOMMUTATIVE LATTICES AND THEIR CONTINUUM LIMITS
Sep 28, 95
(auto. generated ps),
of related papers
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.