 

Yosafat E. P. Pangalela
Realising the Toeplitz algebra of a higherrank graph as a CuntzKrieger algebra view print


Published: 
March 17, 2016

Keywords: 
CuntzKrieger algebra, Toeplitz algebra, higherrank graph, the CuntzKrieger uniqueness theorem, the uniqueness theorem for Toeplitz algebras 
Subject: 
Primary 46L05 


Abstract
For a rowfinite higherrank graph Λ , we construct a higherrank
graph TΛ such that the Toeplitz algebra of Λ is isomorphic
to the CuntzKrieger algebra of TΛ . We then prove that the
higherrank graph TΛ is always aperiodic and use this fact to give
another proof of a uniqueness theorem for the Toeplitz algebras of
higherrank graphs.


Acknowledgements
This research is part of the author's Ph.D. thesis, supervised by Professor Iain Raeburn and Dr. Lisa Orloff Clark.


Author information
Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin 9054, New Zealand
yosafat.pangalela@maths.otago.ac.nz

