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.

### Article Information

 Title On $*$-representations of algebras given by graphs Source Methods Funct. Anal. Topology, Vol. 13 (2007), no. 1, 17-27 MathSciNet MR2308576 Copyright The 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

### 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},
}