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math.OA2026
-categories are von Neumann
Matthew Daws
A -category is to a -algebra what a groupoid is to a group. An example is the category of Hilbert spaces and bounded linear maps, and indeed, every -category can be…
math.OA2026
Quantum relations in the general setting: composition and adjacency operators
Matthew Daws
Quantum relations in the sense of Weaver are -bimodules, for a von Neumann algebra , these generalising actual relations on a set when . Similarly, rel…