Matches in SemOpenAlex for { <https://semopenalex.org/work/W2078200066> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2078200066 endingPage "90" @default.
- W2078200066 startingPage "85" @default.
- W2078200066 abstract "It is well known that a finitely generated group ${rmGamma}$ has Kazhdan’s property (T) if and only if the Laplacian element ${rmDelta}$ in $mathbb{R}[{rmGamma}]$ has a spectral gap. In this paper, we prove that this phenomenon is witnessed in $mathbb{R}[{rmGamma}]$ . Namely, ${rmGamma}$ has property (T) if and only if there exist a constant ${itkappa}>0$ and a finite sequence ${itxi}_{1},ldots ,{itxi}_{n}$ in $mathbb{R}[{rmGamma}]$ such that ${rmDelta}^{2}-{itkappa}{rmDelta}=sum _{i}{itxi}_{i}^{ast }{itxi}_{i}$ . This result suggests the possibility of finding new examples of property (T) groups by solving equations in $mathbb{R}[{rmGamma}]$ , possibly with the assistance of computers." @default.
- W2078200066 created "2016-06-24" @default.
- W2078200066 creator A5060791766 @default.
- W2078200066 date "2014-07-30" @default.
- W2078200066 modified "2023-09-23" @default.
- W2078200066 title "NONCOMMUTATIVE REAL ALGEBRAIC GEOMETRY OF KAZHDAN’S PROPERTY (T)" @default.
- W2078200066 cites W1572772830 @default.
- W2078200066 cites W2009908621 @default.
- W2078200066 cites W2039308336 @default.
- W2078200066 cites W2050316253 @default.
- W2078200066 cites W2061373298 @default.
- W2078200066 cites W2094762659 @default.
- W2078200066 cites W2111421065 @default.
- W2078200066 cites W2963218709 @default.
- W2078200066 doi "https://doi.org/10.1017/s1474748014000309" @default.
- W2078200066 hasPublicationYear "2014" @default.
- W2078200066 type Work @default.
- W2078200066 sameAs 2078200066 @default.
- W2078200066 citedByCount "11" @default.
- W2078200066 countsByYear W20782000662015 @default.
- W2078200066 countsByYear W20782000662017 @default.
- W2078200066 countsByYear W20782000662018 @default.
- W2078200066 countsByYear W20782000662019 @default.
- W2078200066 countsByYear W20782000662020 @default.
- W2078200066 countsByYear W20782000662021 @default.
- W2078200066 countsByYear W20782000662023 @default.
- W2078200066 crossrefType "journal-article" @default.
- W2078200066 hasAuthorship W2078200066A5060791766 @default.
- W2078200066 hasBestOaLocation W20782000662 @default.
- W2078200066 hasConcept C114614502 @default.
- W2078200066 hasConcept C134306372 @default.
- W2078200066 hasConcept C162860070 @default.
- W2078200066 hasConcept C202444582 @default.
- W2078200066 hasConcept C2524010 @default.
- W2078200066 hasConcept C33923547 @default.
- W2078200066 hasConcept C68797384 @default.
- W2078200066 hasConcept C9376300 @default.
- W2078200066 hasConceptScore W2078200066C114614502 @default.
- W2078200066 hasConceptScore W2078200066C134306372 @default.
- W2078200066 hasConceptScore W2078200066C162860070 @default.
- W2078200066 hasConceptScore W2078200066C202444582 @default.
- W2078200066 hasConceptScore W2078200066C2524010 @default.
- W2078200066 hasConceptScore W2078200066C33923547 @default.
- W2078200066 hasConceptScore W2078200066C68797384 @default.
- W2078200066 hasConceptScore W2078200066C9376300 @default.
- W2078200066 hasIssue "1" @default.
- W2078200066 hasLocation W20782000661 @default.
- W2078200066 hasLocation W20782000662 @default.
- W2078200066 hasLocation W20782000663 @default.
- W2078200066 hasLocation W20782000664 @default.
- W2078200066 hasOpenAccess W2078200066 @default.
- W2078200066 hasPrimaryLocation W20782000661 @default.
- W2078200066 hasRelatedWork W1974769824 @default.
- W2078200066 hasRelatedWork W1993302940 @default.
- W2078200066 hasRelatedWork W2031889345 @default.
- W2078200066 hasRelatedWork W2044205073 @default.
- W2078200066 hasRelatedWork W2078854592 @default.
- W2078200066 hasRelatedWork W2171155981 @default.
- W2078200066 hasRelatedWork W2319787826 @default.
- W2078200066 hasRelatedWork W2964630443 @default.
- W2078200066 hasRelatedWork W3084333948 @default.
- W2078200066 hasRelatedWork W954675015 @default.
- W2078200066 hasVolume "15" @default.
- W2078200066 isParatext "false" @default.
- W2078200066 isRetracted "false" @default.
- W2078200066 magId "2078200066" @default.
- W2078200066 workType "article" @default.