THE GAP BETWEEN LOCAL MULTIPLIER ALGEBRAS OF C*-ALGEBRAS

被引：7
作者：
Argerami, Martin [1 ]
Farenick, Douglas [1 ]
Massey, Pedro [1 ]
机构：
[1] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada
来源：
QUARTERLY JOURNAL OF MATHEMATICS | 2009年 / 60卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
INJECTIVE ENVELOPES; CSTAR-ALGEBRAS; STAR-ALGEBRA;
D O I：
10.1093/qmath/han006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The local multiplier algebra M-loc(A) of a C*-algebra A has the property that M-loc (A) subset of M-loc(M-loc(A)). In this paper we show that there is a separable liminal C*-algebra A such that the inclusion is proper.
引用
收藏
页码：273 / 281
页数：9
相关论文
共 21 条
  • [1] Akemann C. A., 1973, Journal of Functional Analysis, V13, P277, DOI 10.1016/0022-1236(73)90036-0
  • [2] [Anonymous], 2000, OPERATOR SPACES
  • [3] [Anonymous], 1966, Allyn and Bacon Series in Advanced Mathematics
  • [4] Ara P., 2003, SPRINGER MG MATH
  • [5] ARA P, HOUSTON J M IN PRESS
  • [6] A not so simple local multiplier algebra
    Ara, Pere
    Mathieu, Martin
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 237 (02) : 721 - 737
  • [7] ARGERAMI M, J OPERATOR IN PRESS
  • [8] N-BY-N MATRICES OVER AN AW-STAR-ALGEBRA
    BERBERIAN, SK
    [J]. AMERICAN JOURNAL OF MATHEMATICS, 1958, 80 (01) : 37 - 44
  • [9] Injective envelopes of C*-algebras as operator modules
    Frank, M
    Paulsen, VI
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 2003, 212 (01) : 57 - 69
  • [10] Gillman L., 1960, RINGS CONTINUOUS FUN
123