2003/05/12 by Partha Sarathi Chakraborty, Chakraborty, Partha Sarathi, Arupkumar Pal +1
Mathematics · #19K33 #46L87 #58B34 #Advanced Operator Algebra Research #Combinatorics (math.CO) #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #Spectral Theory in Mathematical Physics #math.CO #math.OA #math.QA #msc:19K33 #msc:46L87 #msc:58B34
paper · pdf · doi:10.48550/arxiv.math/0305157
v3: 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
openalex publication_date 2003/05/12 · arxiv created 2005/03/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We 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(SUq(ℓ+1)), any Dirac operator that diagonalises with respect to the natural basis of the underlying Hilbert space must have trivial sign.