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

页码：169 / 188

页数：20

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