Preprint
Unitary anchored planar algebras
- Abstract:
- In our previous article [arXiv:1607.06041], we established an equivalence between pointed pivotal module tensor categories and anchored planar algebras. This article introduces the notion of unitarity for both module tensor categories and anchored planar algebras, and establishes the unitary analog of the above equivalence. Our constructions use Baez's 2-Hilbert spaces (i.e., semisimple C∗-categories equipped with unitary traces), the unitary Yoneda embedding, and the notion of unitary adjunction for dagger functors between 2-Hilbert spaces.
- Publication status:
- Published
- Peer review status:
- Not peer reviewed
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(Preview, Pre-print, pdf, 781.0KB, Terms of use)
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- Preprint server copy:
- 10.48550/arXiv.2301.11114
Authors
+ Australian Research Council
More from this funder
- Funder identifier:
- https://ror.org/05mmh0f86
- Funding agency for:
- Tener, J
- Grant:
- DP200100067
- Programme:
- Discovery Project
+ U.S. National Science Foundation
More from this funder
- Funder identifier:
- https://ror.org/021nxhr62
- Funding agency for:
- Penneys, D
- Grant:
- 2154389
- 1500387/1655912
- 1654159
+ Max Planck Institute for Mathematics
More from this funder
- Funder identifier:
- https://ror.org/02dh8ja68
- Funding agency for:
- Tener, J
- Preprint server:
- arXiv
- Publication date:
- 2023-01-26
- DOI:
- Language:
-
English
- Pubs id:
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1327357
- Local pid:
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pubs:1327357
- Deposit date:
-
2025-12-08
- ARK identifier:
Terms of use
- Copyright holder:
- Henriques et al.
- Copyright date:
- 2023
- Rights statement:
- © The Author(s) 2023. This work is made available under the Creative Commons Attribution 4.0 License.
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