Year
2017
Degree Name
Doctor of Philosophy
Department
School of Mathematics and Applied Statistics
Abstract
In this thesis we study how decompositions of a quasi-lattice ordered group (G; P) relate to decompositions of the Nica-Toeplitz algebra NTX and Cuntz-Nica-Pimsner algebra NOX of a compactly aligned product system X over P. In particular, we are interested in the situation where (G; P) may be realised as the semidirect product of quasi-lattice ordered groups. Our results generalise Deaconu's work on iterated Toeplitz and Cuntz-Pimsner algebras [13]. As a special case we consider when P = Nk and X is the product system associated to a finitely aligned higher-rank graph, and Nk is decomposed as Nk-1xN.
Recommended Citation
Fletcher, James, Iterating the Cuntz-Nica-Pimsner construction for product systems, Doctor of Philosophy thesis, School of Mathematics and Applied Statistics, University of Wollongong, 2017. https://ro.uow.edu.au/theses1/3
FoR codes (2008)
0101 PURE MATHEMATICS, 010108 Operator Algebras and Functional Analysis
Unless otherwise indicated, the views expressed in this thesis are those of the author and do not necessarily represent the views of the University of Wollongong.