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. (C) 2003 Elsevier Science (USA). All rights reserved.
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Dipto. di Metodi E Modelli M., UniversitadiPadova, 35131 Padova, Via BelzoniDipto. di Metodi E Modelli M., UniversitadiPadova, 35131 Padova, Via Belzoni
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Univ Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, Sch Math, ZA-2050 Johannesburg, South AfricaUniv Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, Sch Math, ZA-2050 Johannesburg, South Africa
Moeller, Manfred
Szafraniec, Franciszek Hugon
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Jagiellonian Univ, Inst Mathemat, PL-30059 Krakow, PolandUniv Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, Sch Math, ZA-2050 Johannesburg, South Africa
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Univ Siena, Dept Business & Social Studies, Piazza S Francesco, I-53100 Siena, ItalyUniv Siena, Dept Business & Social Studies, Piazza S Francesco, I-53100 Siena, Italy
Fineschi, Franco
Giannetti, Riccardo
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Univ Siena, Dept Business & Social Studies, Piazza S Francesco, I-53100 Siena, ItalyUniv Siena, Dept Business & Social Studies, Piazza S Francesco, I-53100 Siena, Italy