Unitary Anchored Planar Algebras
| dc.contributor.author | Henriques, André | en |
| dc.contributor.author | Penneys, David | en |
| dc.contributor.author | Tener, James | en |
| dc.date.accessioned | 2025-06-11T07:35:51Z | |
| dc.date.available | 2025-06-11T07:35:51Z | |
| dc.date.issued | 2024 | en |
| dc.description.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. | en |
| dc.description.sponsorship | The authors would like to thank Peter Huston and David Reutter for helpful conversations. David Penneys was supported by NSF DMS 1500387/1655912, 1654159, and 2154389. James Tener was supported by Australian Research Council Discovery Project DP200100067, as well as by the Max Planck Institute for Mathematics, Bonn, during the initial stages of this work. | en |
| dc.description.status | Peer-reviewed | en |
| dc.identifier.issn | 0010-3616 | en |
| dc.identifier.scopus | 85194564114 | en |
| dc.identifier.uri | http://www.scopus.com/inward/record.url?scp=85194564114&partnerID=8YFLogxK | en |
| dc.identifier.uri | https://hdl.handle.net/1885/733758362 | |
| dc.language.iso | en | en |
| dc.rights | Publisher Copyright: © The Author(s) 2024. | en |
| dc.source | Communications in Mathematical Physics | en |
| dc.title | Unitary Anchored Planar Algebras | en |
| dc.type | Journal article | en |
| dspace.entity.type | Publication | en |
| local.contributor.affiliation | Henriques, André; University of Oxford | en |
| local.contributor.affiliation | Penneys, David; University of Oxford | en |
| local.contributor.affiliation | Tener, James; Mathematical Sciences Institute Research, Mathematical Sciences Institute, ANU College of Systems and Society, The Australian National University | en |
| local.identifier.citationvolume | 405 | en |
| local.identifier.doi | 10.1007/s00220-024-04985-w | en |
| local.identifier.pure | ac8c393c-0a50-4d16-b9bb-3bb4c8967f65 | en |
| local.identifier.url | https://www.scopus.com/pages/publications/85194564114 | en |
| local.type.status | Published | en |