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Silvestrov, Sergei, ProfessorORCID iD iconorcid.org/0000-0003-4554-6528
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Arnlind, J. & Silvestrov, S. (2009). Affine transformation crossed product type algebras and noncommutative surfaces (503ed.). In: Operator structures and dynamical systems :: July 21-25 2008, Lorentz Center, Leiden, the Netherlands, satellite conference of the fifth European Congress of Mathematics (pp. 1-25). American Mathematical Society (AMS)
Open this publication in new window or tab >>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, p. 1-25Chapter 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 Edition: 503
Series
Contemporary mathematics
Keywords
Representations, Algebras, Surfaces, Dynamical systems, Orbits
National Category
Algebra and Logic Geometry Mathematics
Identifiers
urn:nbn:se:liu:diva-122354 (URN)10.1090/conm/503/09890 (DOI)978-0-8218-4747-3 (ISBN)978-0-8218-8182-8 (ISBN)
Available from: 2015-10-29 Created: 2015-10-29 Last updated: 2015-11-09
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ORCID iD: ORCID iD iconorcid.org/0000-0003-4554-6528