Noncommutative lattices and their continuum limits

被引：5

作者：

Bimonte, G

Ercolessi, E

Landi, G

Lizzi, F

Sparano, G

TeotonioSobrinho, P

机构：

[1] UNIV NAPLES, DIPARTIMENTO SCI FISICHE, I-80125 NAPLES, ITALY

[2] E SCHRODINGER INT INST MATH PHYS, A-1090 VIENNA, AUSTRIA

[3] INT CTR THEORET PHYS, I-34100 TRIESTE, ITALY

[4] UNIV BOLOGNA, DIPARTIMENTO FIS, I-40126 BOLOGNA, ITALY

[5] UNIV BOLOGNA, INFM, I-40126 BOLOGNA, ITALY

[6] UNIV TRIESTE, DIPARTIMENTO SCI MATEMAT, I-34127 TRIESTE, ITALY

[7] IST NAZL FIS NUCL, SEZ NAPOLI, I-80125 NAPLES, ITALY

[8] UNIV ILLINOIS, DEPT PHYS, CHICAGO, IL 60607 USA

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 1996年 / 20卷 / 04期

关键词：

topological space; noncommutative lattices; C-*-algebras;

D O I：

10.1016/S0393-0440(95)00064-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 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 inductive system of noncommutative C*-algebras, respectively.

引用

页码：329 / 348

页数：20

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