Exact structures for operator modules

Martin Mathieu, Michael Rosbotham

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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
Pages (from-to)421-446
Number of pages26
JournalCanadian Journal of Mathematics
Issue number2
Early online date31 Jan 2023
Publication statusPublished - 20 Mar 2023


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

ASJC Scopus subject areas

  • Mathematics(all)


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