… But they have not yet been studied in the bicategory LGK of … the bicategory of associative
algebras and bimodules. In this paper, we study the concept of Morita context in the bicategory …

… φ, the axioms of a wide right Morita context are precisely the conditions that make (P, Q) an
adjoint pair. We will occasionally use the word context to refer to a wide right Morita context. …

… algebras and bimodules in the context of nonsymmetric 1–… or higher-categorical version of
the bicategory Alg1.ModR/, based on … such generalizations of the bicategory of algebras and …

… Full 2-dualizability has been studied for several 2-categories besides the Morita bicategory.
There are… To compare with the usual Morita bicategory, we add a dictionary at the end of this …

… There is a bicategory CorrCat where the objects are small C∗-categories, 1cells are … this
bicategory are precisely the Morita equivalences. Writing CorrAlg for the analogous bicategory …

… Using the categories of firm acts we develop Morita theory for firm semigroups. We show …
strongly Morita equivalent, which means that they are contained in a unitary Morita context with …

… THH of bicategories and use the result to prove that traces of bicategories are equivalent to
… provide our new proof for Morita invariance of shadows on bicategories in the third section. …

… In the context of general algebra, Morita was the first … (1) The ultimate version of Morita
theorems would cover Morita equivalence of categories enriched in bicategories [23]. For example…

… Again, it is possible to consider a non-strict version, C∗-bicategories, but we do not do
this as there is no essential loss of generality in considering only C∗-2-categories. …

… We also prove that principal (left) bundles lead to a bicategory together with a 2-… Morita
theory in the language of bicategories was explained, for example, in [La] for various contexts, …