NONCOMMUTATIVE LATTICES AND THEIR CONTINUUM LIMITS

Authors
BIMONTE G ERCOLESSI E LANDI G LIZZI F SPARANO G TEOTONIOSOBRINHO P
Citation
G. Bimonte et al., NONCOMMUTATIVE LATTICES AND THEIR CONTINUUM LIMITS, Journal of geometry and physics, 20(4), 1996, pp. 327-346
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Journal of geometry and physics → ACNP
ISSN journal
03930440
Volume
20
Issue
4
Year of publication
1996
Pages
327 - 346
Database
ISI
SICI code
0393-0440(1996)20:4<327:NLATCL>2.0.ZU;2-G
Abstract
We consider finite approximations of a topological space M by noncommu tative lattices of points. These lattices are structure spaces of nonc ommutative C-algebras which in turn approximate the algebra C(M) of c ontinuous functions on M. We show how to recover the space M and the a lgebra C(M) from a projective system of noncommutative lattices and an inductive system of noncommutative C-algebras, respectively.