OBSTRUCTIONS TO A GENERAL CHARACTERIZATION OF GRAPH CORRESPONDENCES

被引：2
|
作者：
Kaliszewski, S. [1 ]
Patani, Nura [1 ]
Quigg, John [1 ]
机构：
[1] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 85287 USA
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2013年 / 95卷 / 02期
关键词：
Hilbert modules; C*-correspondences; k-graphs; topological graphs; C-ASTERISK-ALGEBRAS; HIGHER-RANK GRAPHS; PRODUCT SYSTEMS; ISOMORPHISM;
D O I：
10.1017/S1446788713000177
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a countable discrete space V, every nondegenerate separable C*-correspondence over c(0)(V) is isomorphic to one coming from a directed graph with vertex set V. In this paper we demonstrate why the analogous characterizations fail to hold for higher-rank graphs (where one considers product systems of C*-correspondences) and for topological graphs (where V is locally compact Hausdorff), and we discuss the obstructions that arise.
引用
收藏
页码：169 / 188
页数：20
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