DENSITY OF A NORMAL SUBGROUP OF THE INVERTIBLES IN CERTAIN MULTIPLIER ALGEBRAS

被引:0
作者
Ng, P. W. [1 ]
Robin, Tracy [1 ]
机构
[1] Univ Louisiana Lafayette, Math Dept, POB 43568, Lafayette, LA 70504 USA
来源
OPERATORS AND MATRICES | 2017年 / 11卷 / 03期
关键词
C*-algebras; multiplier algebras; general linear group; normal subgroup; Busby invariant; absorbing extensions; PROJECTIVE UNITARY-GROUP; AUTOMORPHISM GROUP; LIE IDEALS; EXTENSIONS;
D O I
10.7153/oam-11-40
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let A be a unital separable simple C*-algebra. Let GL(M(A circle times K)) be the group of invertible elements of the multiplier algebra of the stabilization of A, and let N subset of GL(M(A circle times K)) be any (algebraic) normal subgroup that properly contains the scalar invertibles. Then (N) over bar (strict) = M(A circle times K), where (N) over bar (strict) is the closure of N in the strict topology.
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收藏
页码:601 / 622
页数:22
相关论文
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