Noncommutative Riemann Surfaces by Embeddings in R3
2009 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 288, 403-429 p.Article in journal (Refereed) Published
We introduce C-Algebras of compact Riemann surfaces Σ as non-commutative analogues of the Poisson algebra of smooth functions on Σ . Representations of these algebras give rise to sequences of matrix-algebras for which matrix-commutators converge to Poisson-brackets as N → ∞. For a particular class of surfaces, interpolating between spheres and tori, we completely characterize (even for the intermediate singular surface) all finite dimensional representations of the corresponding C-algebras
Place, publisher, year, edition, pages
Springer, 2009. Vol. 288, 403-429 p.
Mathematics Algebra and Logic
IdentifiersURN: urn:nbn:se:liu:diva-122356DOI: 10.1007/s00220-009-0766-8OAI: oai:DiVA.org:liu-122356DiVA: diva2:865811