@inproceedings{540433614dcb424595159cc8c763dc50,

title = "Quantum categories, star autonomy, and quantum groupoids",

abstract = "A useful general concept of bialgebroid seems to be resolving itself in recent publications; we give a treatment in terms of modules and enriched categories. We define the term {"}quantum category{"}. The definition of antipode for a bialgebroid is less resolved in the literature. Our suggestion is that the kind of dualization occurring in Barr's star-autonomous categories is more suitable than autonomy (= compactness = rigidity). This leads to our definition of quantum groupoid intended as a {"}Hopf algebra with several objects{"}.",

author = "Brian Day and Ross Street",

year = "2004",

language = "English",

isbn = "0821832905",

series = "Fields Institute communications",

publisher = "American Mathematical Society",

pages = "187--226",

editor = "George Janelidze and Bodo Pareigis and Walter Tholen",

booktitle = "Galois theory, Hopf algebras, and semiabelian categories",

address = "United States",

}