Affine transformation crossed product type algebras and noncommutative surfaces
2009 (English)In: Operator structures and dynamical systems :: July 21-25 2008, Lorentz Center, Leiden, the Netherlands, satellite conference of the fifth European Congress of Mathematics, American Mathematical Society (AMS), 2009, 503, 1-25 p.Chapter in book (Refereed)
Several classes of *-algebras associated to teh action of an affine transformation are considered, and an investigation of the interplay between the different classes is initiated. Connections are established that relate representations of *-algebras, geometry of algebraic surfaces, dynamics of affine transformations, graphs and algebras coming from a quantization procedure of Poisson structures. In particular, algebras related to surgaced being inverse images of fourth order polynomials (in ) are studied in detail, and a close link between representation theory and geometric properties is established for compact as well as non-compact surfaces.
Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2009, 503. 1-25 p.
, Contemporary mathematics
Representations, Algebras, Surfaces, Dynamical systems, Orbits
Algebra and Logic Geometry Mathematics
IdentifiersURN: urn:nbn:se:liu:diva-122354DOI: 10.1090/conm/503/09890ISBN: 978-0-8218-4747-3ISBN: 978-0-8218-8182-8OAI: oai:DiVA.org:liu-122354DiVA: diva2:865808