Open Access

On $*$-representations of algebras given by graphs


Abstract

*-algebras given by trees generated by projections with Temperley-Lieb type relations are considered in this work. Formulas of representations are built by algorithms for *-algebras, associated with the Dynkin diagrams, and we get estimates for the parameters at which non-trivial *-representations of the *-algebras exist.


Full Text






Article Information

TitleOn $*$-representations of algebras given by graphs
SourceMethods Funct. Anal. Topology, Vol. 13 (2007), no. 1, 17-27
MathSciNet   MR2308576
CopyrightThe Author(s) 2007 (CC BY-SA)

Authors Information

S. V. Ivanov
V. I. Vernadsky Taurida National University, 4, Vernadskiy Ave., Simferopol, 95007, Autonomous Republic of Crimea, Ukraine 


Export article

Save to Mendeley



Citation Example

S. V. Ivanov, On $*$-representations of algebras given by graphs, Methods Funct. Anal. Topology 13 (2007), no. 1, 17-27.


BibTex

@article {MFAT389,
    AUTHOR = {Ivanov, S. V.},
     TITLE = {On $*$-representations of algebras given by graphs},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {13},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {17-27},
      ISSN = {1029-3531},
  MRNUMBER = {MR2308576},
       URL = {http://mfat.imath.kiev.ua/article/?id=389},
}


All Issues