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].
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页码：125 / 137
页数：13
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