A survey of Hochschild cohomology for von Neumann algebras

被引：0

作者：

Sinclair, AM ^{[1
]}

Smith, RR ^{[1
]}

机构：

[1] Univ Edinburgh, Dept Math, Edinburgh EH9 3JZ, Midlothian, Scotland

来源：

OPERATOR ALGEBRAS, QUANTIZATION, AND NONCOMMUTATIVE GEOMETRY: A CENTENNIAL CELEBRATION HONORING JOHN VON NEUMANN AND MARSHALL H. STONE | 2004年 / 365卷

关键词：

von Neumann algebra; C*-algebra; cohomology group; complete boundedness; Cartan; property Gamma;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we survey the field of Hochschild cohomology for von Neumann algebras. We describe the basic definitions and results without assuming background knowledge beyond some familiarity with von Neumann algebra theory. We offer no formal proofs of results, although we give detailed references to the literature. Instead, we concentrate on explaining the main techniques and how they are applied to obtain the significant theorems of the subject.

引用

页码：383 / 400

页数：18

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