Honours thesis: Exact sequences in graded $KK$-theory for Cuntz-Pimsner algebras
Operator Algebras
2020-05-06 v1
Abstract
In this thesis we generalise the six-term exact sequence in graded -theory obtained in a paper of Kumjian, Pask and Sims (2017) to allow correspondences with non-compact left action. In particular, this allows us to compute the graded -theory of row-infinite graphs. We develop the theory necessary for following the arguments of Kumjian, Pask and Sims and of Pimsner (1997), with detailed sections on Hilbert modules, -correspondences, Crossed products, Toeplitz algebras, Cuntz-Pimsner algebras and -theory.
Keywords
Cite
@article{arxiv.2005.02187,
title = {Honours thesis: Exact sequences in graded $KK$-theory for Cuntz-Pimsner algebras},
author = {Quinn Patterson},
journal= {arXiv preprint arXiv:2005.02187},
year = {2020}
}
Comments
167 pages