Journal article
Unitary anchored planar algebras
- Abstract:
- In our previous article (http://arxiv.org/abs/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:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 742.1KB, Terms of use)
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- Publisher copy:
- 10.1007/s00220-024-04985-w
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:
- 1500387/1655912
- 1654159
- 2154389
+ Max Planck Institute for Mathematics
More from this funder
- Funder identifier:
- https://ror.org/02dh8ja68
- Funding agency for:
- Tener, J
- Publisher:
- Springer
- Journal:
- Communications in Mathematical Physics More from this journal
- Volume:
- 405
- Issue:
- 6
- Article number:
- 137
- Publication date:
- 2024-05-25
- Acceptance date:
- 2024-03-05
- DOI:
- EISSN:
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1432-0916
- ISSN:
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0010-3616
- Language:
-
English
- Pubs id:
-
1772186
- Local pid:
-
pubs:1772186
- Source identifiers:
-
2081143
- Deposit date:
-
2024-07-02
- ARK identifier:
Terms of use
- Copyright holder:
- Henriques et al.
- Copyright date:
- 2024
- Rights statement:
- © The Author(s) 2024. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
- Licence:
- CC Attribution (CC BY)
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