The commutant of L(H) in its ultrapower may or may not be trivial

被引：8

作者：

Farah, Ilijas ^{[1
,4
]}

Phillips, N. Christopher ^{[2
]}

Steprans, Juris ^{[3
]}

机构：

[1] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada

[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[3] Fields Inst, Toronto, ON, Canada

[4] Matematicki Inst, Belgrade, Serbia

来源：

MATHEMATISCHE ANNALEN | 2010年 / 347卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

C-ASTERISK-ALGEBRAS; CENTRAL-SEQUENCES; AUTOMORPHISMS;

D O I：

10.1007/s00208-009-0448-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Kirchberg asked in 2004 whether the commutant of L(H) in its (norm) ultrapower is trivial. Assuming the Continuum Hypothesis, we prove that the answer depends on the choice of the ultrafilter.

引用

页码：839 / 857

页数：19

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