Topological Groupoid Quantales

被引：5

作者：

Palmigiano, A. ^{[1
]}

Re, R. ^{[2
]}

机构：

[1] Univ Amsterdam, Inst Log Language & Computat, NL-1090 GE Amsterdam, Netherlands

[2] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

STUDIA LOGICA | 2010年 / 95卷 / 1-2期

关键词：

unital involutive quantale; regular frame; topological groupoid; etale groupoid; representation theorem; Penrose tilings;

D O I：

10.1007/s11225-010-9251-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We associate a canonical unital involutive quantale to a topological groupoid. When the groupoid is also etale, this association is compatible with but independent from the theory of localic etale groupoids and their quantales [9] of P. Resende. As a motivating example, we describe the connection between the quantale and the C*-algebra that both classify Penrose tilings, which was left as an open problem in [5].

引用

页码：125 / 137

页数：13

共 39 条

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