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Compressions of free products of von Neumann algebras
被引：0
作者：
Kenneth J. Dykema
Florin Radulescu
机构：
[1] Department of Mathematics,
[2] Texas A&M University,undefined
[3] College Station,undefined
[4] TX 77843,undefined
[5] USA (e-mail: Ken.Dykema@math.tamu.edu)
,undefined
[6] Depatment of Mathematics,undefined
[7] University of Iowa,undefined
[8] Iowa City IA 52242–1466,undefined
[9] USA (e-mail: radulesc@math.uiowa.edu)
,undefined
来源：
Mathematische Annalen
|
2000年
/
316卷
关键词：
Mathematics Subject Classification (1991):46L35, 46L40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A reduction formula for compressions of von Neumann algebra II\documentclass[12pt]{minimal}
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$_1$\end{document}–factors arising as free products is proved. This shows that the fundamental group is \documentclass[12pt]{minimal}
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${\bf R}^*_+$\end{document} for some such algebras. Additionally, by taking a sort of free product with an unbounded semicircular element, continuous one parameter groups of trace scaling automorphisms on II\documentclass[12pt]{minimal}
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$_\infty$\end{document}–factors are constructed; this produces type III\documentclass[12pt]{minimal}
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$_1$\end{document} factors with core \documentclass[12pt]{minimal}
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$\mathcal{M}\otimes B(\mathcal{H})$\end{document}, where \documentclass[12pt]{minimal}
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$\mathcal{M}$\end{document} can be a full II\documentclass[12pt]{minimal}
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$_1$\end{document}–factor without the Haagerup approximation property.
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页码：61 / 82
页数：21
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