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}
}
• Published 2019
• Mathematics
• arXiv: Category Theory
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

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