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C^*-categories are a useful tool in operator algebras, appearing naturally in the study of quantum groups, subfactors, and K-theory, among other things. Some constructions which are relevant in these applications can be phrased in terms of bicolimits. In this talk I will discuss a general approach to deal with bicolimits of C^*-categories, illustrate this with a few examples, and point out some peculiarities.

(Based on joint work with J. Antoun)