@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",
}