liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
Affine transformation crossed product type algebras and noncommutative surfaces
Albert Einstein Institute, Golm, Germany..ORCID iD: 0000-0002-8727-2169
Centre for Mathematical Sciences, Lund University, Box 118, 221 00 Lund, Sweden .ORCID iD: 0000-0003-4554-6528
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)
Abstract [en]

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
Keyword [en]
Representations, Algebras, Surfaces, Dynamical systems, Orbits
National Category
Algebra and Logic Geometry Mathematics
URN: urn:nbn:se:liu:diva-122354DOI: 10.1090/conm/503/09890ISBN: 978-0-8218-4747-3ISBN: 978-0-8218-8182-8OAI: diva2:865808
Available from: 2015-10-29 Created: 2015-10-29 Last updated: 2015-11-09

Open Access in DiVA

No full text

Other links

Publisher's full textfind book in another country/hitta boken i ett annat land

Search in DiVA

By author/editor
Arnlind, JoakimSilvestrov, Sergei
Algebra and LogicGeometryMathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 49 hits
ReferencesLink to record
Permanent link

Direct link