Corpus ID: 119617902

Morita Bicategories of Algebras and Duality Involutions

@article{Lorand2019MoritaBO,
  title={Morita Bicategories of Algebras and Duality Involutions},
  author={Jonathan Lorand and A. Valentino},
  journal={arXiv: Category Theory},
  year={2019}
}
The notion of a weak duality involution on a bicategory was recently introduced by Shulman in [arXiv:1606.05058]. We construct a weak duality involution on the fully dualisable part of $\text{Alg}$, the Morita bicategory of finite-dimensional k-algebras. The 2-category $\text{KV}$ of Kapranov-Voevodsky k-vector spaces may be equipped with a canonical strict duality involution. We show that the pseudofunctor $\text{Rep}: \text{Alg}^{fd} \to \text{KV}$ sending an algebra to its category of finite… Expand
1 Citations
Burnside rings for Real $2$-representation theory: The linear theory
  • 2
  • PDF

References

SHOWING 1-10 OF 17 REFERENCES
The Classification of Two-Dimensional Extended Topological Field Theories
  • 134
  • Highly Influential
  • PDF
Duals and adjoints in higher Morita categories
  • 6
  • PDF
Finite tensor categories
  • 268
  • PDF
The higher Morita category of n–algebras
  • 30
  • PDF
Contravariance through enrichment
  • 4
  • Highly Influential
  • PDF
Duality for modules and its applications to the theory of rings with minimum condition
  • 386
BIEQUIVALENCES IN TRICATEGORIES
  • 34
  • PDF
On the Classification of Topological Field Theories
  • 393
  • PDF
...
1
2
...