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

[1] Topological Groupoid Quantales
A. Palmigiano
R. Re
Studia Logica, 2010, 95 : 125 - 137
[2] Relational Representation of Groupoid Quantales
Palmigiano, Alessandra
Re, Riccardo
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2013, 30 (01): : 65 - 83
[3] Relational Representation of Groupoid Quantales
Alessandra Palmigiano
Riccardo Re
Order, 2013, 30 : 65 - 83
[4] The fundamental groupoid as a topological groupoid: Lasso topology
Pakdaman, Ali
Shahini, Freshte
TOPOLOGY AND ITS APPLICATIONS, 2021, 302
[5] Action of topological groupoid on topological space
Majeed, Taghreed Hur
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (01): : 85 - 89
[6] A TOPOLOGICAL FIBREWISE FUNDAMENTAL GROUPOID
Roberts, David Michael
HOMOLOGY HOMOTOPY AND APPLICATIONS, 2015, 17 (02) : 37 - 51
[7] A Topological Groupoid Representing the Topos of Presheaves on a Monoid
Hemelaer, Jens
APPLIED CATEGORICAL STRUCTURES, 2020, 28 (05) : 749 - 772
[8] A Topological Groupoid Representing the Topos of Presheaves on a Monoid
Jens Hemelaer
Applied Categorical Structures, 2020, 28 : 749 - 772
[9] A group of continuous self-maps on a topological groupoid
Amiri, Habib
SEMIGROUP FORUM, 2018, 96 (01) : 69 - 80
[10] A group of continuous self-maps on a topological groupoid
Habib Amiri
Semigroup Forum, 2018, 96 : 69 - 80

← 1 2 3 4 →