• Corpus ID: 248069426

# The insidious bicategory of algebra bundles

@inproceedings{Kristel2022TheIB,
title={The insidious bicategory of algebra bundles},
author={Peter Kristel and Matthias Ludewig and Konrad Waldorf},
year={2022}
}
• Published 8 April 2022
• Mathematics
In this paper we construct a bicategory of (super) algebra bundles over a smooth manifold, where the 1-morphisms are bundles of bimodules. The main point is that naive deﬁnitions of bimodule bundles will not lead to a well-deﬁned composition law in such a bicategory, at least not if non-invertible bimodules and non-semisimple algebras are desired. This problem has not been addressed so far in the literature. We develop a complete solution, and also address symmetric monoidal structures as well…
1 Citations
A representation of the string 2-group
• Mathematics
• 2022
We construct a representation of the string 2-group on a 2-vector space, namely on the hyperfinite type III1 von Neumann algebra. We prove that associating this representation to the frame bundle of

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