交换子模赋范理想和拟中心模I的杂项

L’Enseignement Mathématique Pub Date : 2020-08-16 DOI:10.4171/lem/1047

D. Voiculescu

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引用次数: 1

摘要

定义了具有边界的紧光滑流形的交换子模赋范理想。关于这些算子代数的k理论的结果包括一个由Mayer-Vietoris序列导出的流形连通和的精确序列。我们还讨论了准通知p- schattenn -von Neumann类0 < p < 1的双突变模赋范理想和拟中心模。

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Miscellaneous on commutants mod normed ideals and quasicentral modulus $I$

We define commutants mod normed ideals associated with compact smooth manifolds with boundary. The results about the K-theory of these operator algebras include an exact sequence for the connected sum of manifolds, derived from the Mayer-Vietoris sequence. We also make a few remarks about bicommutants mod normed ideals and about the quasicentral modulus for the quasinormed p-Schatten-von Neumann classes 0 < p < 1.

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L’Enseignement Mathématique

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