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
收藏
页码：721 / 737
页数：17
相关论文
共 50 条
  • [21] ON THE MULTIPLIER ALGEBRA OF FRECHET ALGEBRAS
    Alimohammadi, Z.
    Rejali, A.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (04): : 125 - 132
  • [22] A MULTIPLIER ALGEBRA FUNCTIONAL CALCULUS
    Bickel, Kelly
    Hartz, Michael
    McCarthy, John E.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (12) : 8467 - 8482
  • [23] Nonregular ideals in the multiplier algebra of a stable C*-algebra
    Kucerovsky, D.
    Ng, P. W.
    HOUSTON JOURNAL OF MATHEMATICS, 2007, 33 (04): : 1117 - 1130
  • [24] MULTIPLIER ALGEBRA OF C-STAR-ENVELOPE AND THE C-STAR-ENVELOPE OF A MULTIPLIER ALGEBRA
    LAI, HC
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1982, 58 (08) : 365 - 368
  • [25] Multiplier cocycles of a flow on a C*-algebra
    Kishimoto, A
    JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 235 (01) : 271 - 296
  • [26] THE MULTIPLIER ALGEBRA OF THE NONCOMMUTATIVE SCHWARTZ SPACE
    Cias, Tomasz
    Piszczek, Krzysztof
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2017, 11 (03): : 615 - 635
  • [27] On the multiplier algebra of fréchet algebras
    Alimohammadi, Z.
    Rejali, A.
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2019, 81 (04): : 125 - 132
  • [28] SIMPLE Q MULTIPLIER
    SHORT, JA
    WIRELESS WORLD, 1974, 80 (1467): : 463 - 463
  • [29] A CRITERION OF LOCAL DERIVATIONS ON THE SEVEN-DIMENSIONAL SIMPLE MALCEV ALGEBRA
    Arzikulov, F.
    Karimjanov, I. A.
    OPERATORS AND MATRICES, 2022, 16 (02): : 495 - 511
  • [30] SPECTRAL SYNTHESIS IN THE MULTIPLIER ALGEBRA OF A C0(X)-ALGEBRA
    Archbold, Robert J.
    Somerset, Douglas W. B.
    QUARTERLY JOURNAL OF MATHEMATICS, 2014, 65 (01): : 1 - 24
12345