Exact structures for operator modules

被引：0

作者：

Mathieu, Martin ^{[1
]}

Rosbotham, Michael ^{[1
]}

机构：

[1] Queens Univ Belfast, Math Sci Res Ctr, Belfast BT7 1NN, Antrim, North Ireland

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2022年

关键词：

Cohomological dimension; injective object; C*-algebra; operator module; exact structures;

D O I：

10.4153/S0008414X22000037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We demonstrate how exact structures can be placed on the additive category of right operator modules over an operator algebra in order to discuss global dimension for operator algebras. The properties of the Haagerup tensor product play a decisive role in this.

引用

页码：421 / 446

页数：26

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