On $*$-representations of algebras given by graphs

Authors

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

DOI:

Keywords:

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.

Downloads

Published

2007-03-25

Issue

Vol. 13 No. 1 (2007)

Section

Articles

How to Cite

Ivanov, S. V. “On $*$-Representations of Algebras Given by Graphs”. Methods of Functional Analysis and Topology, vol. 13, no. 1, Mar. 2007, pp. 17-27, https://zen.imath.kiev.ua/index.php/mfat/article/view/333.