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Iterating the Cuntz-Nica-Pimsner construction for product systems

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posted on 2024-11-12, 10:05 authored by James Fletcher
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.

History

Year

2017

Thesis type

  • Doctoral thesis

Faculty/School

School of Mathematics and Applied Statistics

Language

English

Disclaimer

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.

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