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*-Autonomous categories in quantum theory

Brian Day
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Abstract

*-Autonomous categories were initially defined by M. Barr to describe a type of duality carried by many monoidal closed categories. Later they were generalised by the current author to include *-autonomous promonoidal categories. Together, these structures under "convolution" product give a clear indication of the usefulness of *-autonomy in quantum mathematics and related areas.

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Brian Day. 2011-11-26. *-Autonomous categories in quantum theory. https://arxiv.org/abs/math/0605037

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