Abstract
A non-unital algebra in a closed monoidal category is called self-induced if the multiplication induces an isomorphism between A\otimes_A A and A. For such an algebra, we define smoothening and roughening functors that retract the category of modules onto two equivalent subcategories of smooth and rough modules, respectively. These functors generalise previous constructions for group representations on bornological vector spaces. We also study the pairs of adjoint functors between categories of smooth and rough modules that are induced by bimodules and Morita equivalence.
Connections
Explore this paper’s authors, topics and related work.
Building this map preview
BZPEER is loading the nearby papers, people, topics and institutions for this page.
Reviews 0
Write a review
No reviews yet.
Discussion 0
Add a comment
No comments yet.