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math.OA2024
Trace-class operators on Hilbert modules and Haagerup tensor products
Tyrone Crisp, Michael Rosbotham
We show that the space of trace-class operators on a Hilbert module over a commutative C*-algebra, as defined and studied in earlier work of Stern and van Suijlekom (Journal of Fun…
math.OA2021
Exact Structures for Operator Modules
Martin Mathieu, Michael Rosbotham
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 alge…