Exact structures for operator modules

Martin Mathieu; Michael Rosbotham

doi:10.4153/S0008414X22000037

Exact structures for operator modules

Martin Mathieu, Michael Rosbotham

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Abstract

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.

Original language	English
Pages (from-to)	421-446
Number of pages	26
Journal	Canadian Journal of Mathematics
Volume	75
Issue number	2
Early online date	31 Jan 2023
DOIs	https://doi.org/10.4153/S0008414X22000037
Publication status	Published - 20 Mar 2023

Keywords

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

ASJC Scopus subject areas

General Mathematics

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10.4153/S0008414X22000037Licence: CC BY

Exact structures for operator modules
© Canadian Mathematical Society, 2022. This is an open access article published under a Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium, provided the author and source are cited.
Final published version, 575 KBLicence: CC BY

Cohomological dimension for C*-algebras
Rosbotham, M. (Author), Mathieu, M. (Supervisor) & De Chiara, G. (Supervisor), Dec 2021
Student thesis: Doctoral Thesis › Doctor of Philosophy

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Exact structures for operator modules

Abstract

Keywords

ASJC Scopus subject areas

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Student theses

Cohomological dimension for C*-algebras

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