Quantum Topology

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Volume 7, Issue 1, 2016, pp. 1–28
DOI: 10.4171/QT/72

Published online: 2016-02-08

Morita theory for finitary 2-categories

Volodymyr Mazorchuk[1] and Vanessa Miemietz[2]

(1) Uppsala Universitet, Sweden
(2) University of East Anglia, Norwich, UK

We develop Morita theory for finitary additive 2-representations of finitary 2-categories. As an application we describe Morita equivalence classes for 2-categories of projective functors associated to finite dimensional algebras and for 2-categories of Soergel bimodules.

Keywords: 2-representation theory, finitary 2-category, Morita equivalence, projective functor

Mazorchuk Volodymyr, Miemietz Vanessa: Morita theory for finitary 2-categories. Quantum Topol. 7 (2016), 1-28. doi: 10.4171/QT/72