Characterization of spectral triples: A combinatorial approach

Simple item page
dc.creatorChakraborty, Partha Sarathi
dc.creatorPal, Arupkumar
dc.date2003-05-12
dc.date2005-03-06
dc.date.accessioned2026-07-07T04:57:55Z
dc.date.available2026-07-07T04:57:55Z
dc.descriptionWe describe a general technique to study Dirac operators on noncommutative spaces under some additional assumptions. The main idea is to capture the compact resolvent condition in a combinatorial set up. Using this, we then prove that for a certain class of representations of the C^*-algebra C(SU_q(\ell+1)), any Dirac operator that diagonalises with respect to the natural basis of the underlying Hilbert space must have trivial sign.
dc.descriptionv3: partly rewritten; the equivariant case has now been taken out and would be treated in a separate paper. v2: few typos corrected. LaTeX2e, uses xy-pic and eepic
dc.identifierhttps://arxiv.org/abs/math/0305157
dc.identifierhttp://arxiv.org/abs/math/0305157
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67431
dc.subjectOperator Algebras
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subject58B34, 46L87, 19K33
dc.titleCharacterization of spectral triples: A combinatorial approach
dc.typetext

Files

Collections

arXiv