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 languageEnglish
Number of pages26
JournalCanadian Journal of Mathematics
Early online date31 Jan 2022
DOIs
Publication statusEarly online date - 31 Jan 2022

Bibliographical note

Publisher Copyright:
© 2022 Cambridge University Press. All rights reserved.

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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