Exact structures for operator modules

Mathieu, Martin; Rosbotham, Michael

doi:10.4153/s0008414x22000037

Can. J. Math.-J. Can. Math.

2022

DOI: 10.4153/s0008414x22000037

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Exact structures for operator modules

Martin Mathieu¹,

Michael Rosbotham²

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.

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Exact structures for operator modules

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.

Cited by 0 publications

References 36 publications

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