论文标题

杂项在通勤者mod规范的理想和准模量I

Miscellaneous on Commutants mod Normed Ideals and Quasicentral Modulus I

论文作者

Voiculescu, Dan-Virgil

论文摘要

我们定义了与边界紧凑的平滑歧管相关的通勤模式的规范理想。这些操作员代数的K理论的结果包括源自Mayer-Vietoris序列的歧管之和的精确序列。我们还对双学士Mod规范理想以及准式模量p <1 <p <1发表了一些评论。

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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