dc.date.accessioned | 2022-06-07T15:10:32Z | |
dc.date.available | 2022-06-07T15:10:32Z | |
dc.date.created | 2022-05-26T19:00:01Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Enstad, Ulrik Bo Rufus Van Velthoven, Jordy Timo Bedos, Eric Christophe . Smooth lattice orbits of nilpotent groups and strict comparison of projections. Journal of Functional Analysis. 2022 | |
dc.identifier.uri | http://hdl.handle.net/10852/94307 | |
dc.description.abstract | This paper provides sufficient density conditions for the existence of smooth vectors generating a frame or Riesz sequence in the lattice orbit of a square-integrable projective representation of a nilpotent Lie group. The conditions involve the product of lattice co-volume and formal dimension, and complement Balian–Low type theorems for the non-existence of smooth frames and Riesz sequences at the critical density. The proof hinges on a connection between smooth lattice orbits and generators for an explicitly constructed finitely generated Hilbert C*-module. An important ingredient in the approach is that twisted group C*-algebras associated to finitely generated nilpotent groups have finite decomposition rank, hence finite nuclear dimension, which allows us to deduce that any matrix algebra over such a simple C*-algebra has strict comparison of projections. | |
dc.language | EN | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.title | Smooth lattice orbits of nilpotent groups and strict comparison of projections | |
dc.title.alternative | ENEngelskEnglishSmooth lattice orbits of nilpotent groups and strict comparison of projections | |
dc.type | Journal article | |
dc.creator.author | Enstad, Ulrik Bo Rufus | |
dc.creator.author | Van Velthoven, Jordy Timo | |
dc.creator.author | Bedos, Eric Christophe | |
cristin.unitcode | 185,15,13,0 | |
cristin.unitname | Matematisk institutt | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 2027611 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal of Functional Analysis&rft.volume=&rft.spage=&rft.date=2022 | |
dc.identifier.jtitle | Journal of Functional Analysis | |
dc.identifier.doi | https://doi.org/10.1016/j.jfa.2022.109572 | |
dc.identifier.urn | URN:NBN:no-96867 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0022-1236 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/94307/4/1-s2.0-S0022123622001926-main.pdf | |
dc.type.version | PublishedVersion | |
cristin.articleid | 109572 | |