Adjoining adjoints |
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| Authors: | Robert Dawson,Robert Paré |
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| Affiliation: | a Department of Mathematics and Computing Science, Saint Mary's University, Halifax, NS, Canada B3H 3C3
b Department of Mathematics and Statistics, Dalhousie University, Halifax, NS, Canada B3H 3J5 |
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| Abstract: | We construct the 2-category obtained from a category by freely adjoining a right adjoint for each morphism and isolate its universal property. Some others basic properties are also studied. Some examples in which the category is freely generated by a graph are discussed in detail. For these categories, the 2-cells are given a geometric interpretation and shown to be similar to certain diagrams which have appeared in the literature on C∗-algebras. |
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| Keywords: | 18A40 18D05 |
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