NYJM Logo

New York Journal of Mathematics
Volume 26 (2020), 688-710

  

Astrid an Huef and Iain Raeburn

Equilibrium states on the Toeplitz algebras of small higher-rank graphs

view    print


Published: June 23, 2020.
Keywords: higher-rank graph, Toeplitz algebra, equilibrium state.
Subject: 46L55, 46L30.

Abstract
We consider a family of operator-algebraic dynamical systems involving the Toeplitz algebras of higher-rank graphs. We explicitly compute the KMS states (equilibrium states) of these systems built from small graphs with up to four connected components.

Acknowledgements

This research was supported by the Marsden Fund of the Royal Society of New Zealand.


Author information

Astrid an Huef:
School of Mathematics and Statistics
Victoria University of Wellington
P.O. Box 600, Wellington 6140, New Zealand

astrid.anhuef@vuw.ac.nz

Iain Raeburn:
School of Mathematics and Statistics
Victoria University of Wellington
P.O. Box 600, Wellington 6140, New Zealand

iain.raeburn@vuw.ac.nz