A not so simple local multiplier algebra

被引：9

作者：

Ara, Pere

Mathieu, Martin ^{[1
]}

机构：

[1] Queens Univ Belfast, Dept Pure Math, Belfast BT7 1NN, Antrim, North Ireland

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 237卷 / 02期

关键词：

local multiplier algebra; AF-algebra;

D O I：

10.1016/j.jfa.2006.02.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an AF-algebra A such that its local Multiplier algebra M-loc(A) does not agree with M-loc(M-loc(A)), thus answering a question raised by G.K. Pedersen in 1978. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：721 / 737

页数：17

共 50 条

[1] A simple local multiplier algebra
Ara, P
Mathieu, M
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1999, 126 : 555 - 564
[2] The local multiplier algebra of a C*-algebra
Somerset, DWB
QUARTERLY JOURNAL OF MATHEMATICS, 1996, 47 (185): : 123 - 132
[3] The local multiplier algebra of a C*-algebra, II
Somerset, DWB
JOURNAL OF FUNCTIONAL ANALYSIS, 2000, 171 (02) : 308 - 330
[4] The Second Local Multiplier Algebra of a Separable C*-algebra
Mathieu, Martin
ALGEBRAIC METHODS IN FUNCTIONAL ANALYSIS: THE VICTOR SHULMAN ANNIVERSARY VOLUME, 2014, 233 : 93 - 102
[5] The local multiplier algebra of a C*-algebra with finite dimensional irreducible representations
Gogic, Ilja
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 408 (02) : 789 - 794
[6] When is the second local multiplier algebra of a C*-algebra equal to the first?
Ara, Pere
Mathieu, Martin
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2011, 43 : 1167 - 1180
[7] AUTOMORPHISMS INNER IN THE LOCAL MULTIPLIER ALGEBRA AND CONNES SPECTRUM
Dumitru, Raluca
Peligrad, Costel
Visinescu, Bogdan
OPERATOR THEORY 20, PROCEEDINGS, 2006, : 75 - 80
[8] SIMPLICITY OF THE PROJECTIVE UNITARY GROUP OF THE MULTIPLIER ALGEBRA OF A SIMPLE STABLE NUCLEAR C*-ALGEBRA
Ng, P. W.
Ruiz, Efren
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2010, 40 (05) : 1649 - 1665
[9] ON THE STRUCTURE OF THE PROJECTIVE UNITARY GROUP OF THE MULTIPLIER ALGEBRA OF A SIMPLE STABLE NUCLEAR C*-ALGEBRA
Ng, P. W.
Ruiz, Efren
JOURNAL OF OPERATOR THEORY, 2012, 68 (02) : 549 - 565
[10] THE MULTIPLIER ALGEBRA OF A BEURLING ALGEBRA
Bhatt, S. J.
Dabhi, P. A.
Dedania, H. V.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 90 (01) : 113 - 120

← 1 2 3 4 5 →