AF EMBEDDINGS OF C(T2) WITH A PRESCRIBED K-THEORY

被引：20

作者：

ELLIOTT, GA

LORING, TA

机构：

[1] UNIV TORONTO,DEPT MATH,TORONTO M5S 1A1,ONTARIO,CANADA

[2] DALHOUSIE UNIV,DEPT MATH STAT & COMP SCI,HALIFAX B3H 3J5,NS,CANADA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1992年 / 103卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0022-1236(92)90130-B

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a unital AF algebra without finite-dimensional quotients. Our main result is the classification of the group homomorphisms γ:K0(C(T2))→K0(A) which are induced by unital star-homomorphisms θ:C(T2)→A. Specifically, γ = θ* for some θ exactly when γ preserves the order unit and maps the reduced K-theory of the torus into the kernel of τ* for all bounded traces τ:A→C. © 1992.

引用

页码：1 / 25

页数：25

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