The Fourier algebra for locally compact groupoids

被引：6

作者：

Paterson, ALT ^{[1
]}

机构：

[1] Univ Mississippi, Dept Math, University, MS 38677 USA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2004年 / 56卷 / 06期

关键词：

D O I：

10.4153/CJM-2004-055-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and investigate using Hilbert modules the properties of the Fourier algebra A(G) for a locally compact groupoid G. We establish a duality theorem for such groupoids in terms of multiplicative module maps. This includes as a special case the classical duality theorem for locally compact groups proved by P. Eymard.

引用

页码：1259 / 1289

页数：31

共 50 条

[1] ON FOURIER ALGEBRA OF A LOCALLY COMPACT HYPERGROUP
Kalyuzhnyi, A. A.
Podkolzin, G. B.
Chapovsky, Yu. A.
[J]. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2015, 21 (03): : 246 - 255
[2] FOURIER ALGEBRA OF A LOCALLY COMPACT GROUP
LEPTIN, H
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1968, 266 (25): : 1180 - &
[3] Fourier-Stieltjes algebras of locally compact groupoids
Ramsay, A
Walter, ME
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1997, 148 (02) : 314 - 367
[4] The Fouxier-Stieltjes and Fourier algebras for locally compact groupoids
Paterson, ALT
[J]. TRENDS IN BANACH SPACES & OPERATOR THEORY, 2003, 321 : 223 - 237
[5] A characterization of the Fourier algebra for some locally compact groups
Nasserddine, Wassim
[J]. COMPTES RENDUS MATHEMATIQUE, 2017, 355 (05) : 543 - 548
[6] Complemented ideals in the Fourier algebra of a locally compact group
Wood, PJ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (02) : 445 - 451
[7] FOURIER-ALGEBRA OF A LOCALLY COMPACT AMENABLE GROUP
FLORY, V
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 29 (03) : 603 - &
[8] Fixed point property and the Fourier algebra of a locally compact group
Lau, Anthony To-Ming
Leinert, Michael
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 360 (12) : 6389 - 6402
[9] On φ-contractibility of the Lebesgue-Fourier algebra of a locally compact group
Alaghmandan, Mahmood
Nasr-Isfahani, Rasoul
Nemati, Mehdi
[J]. ARCHIV DER MATHEMATIK, 2010, 95 (04) : 373 - 379
[10] Ergodic sequences in the fourier-stieltjes algebra and measure algebra of a locally compact group
Lau, ATM
Losert, V
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 351 (01) : 417 - 428

← 1 2 3 4 5 →