Strong solidity of q-Gaussian algebras

Master thesis (2020)

Authors

A.G. Wildschut Electrical Engineering, Mathematics and Computer Science

Contributors

M.P.T. Caspers Analysis - EEMCS (supervisor 1)
J.M.A.M. van Neerven Analysis - EEMCS (supervisor 2)
R.C. Kraaij Applied Probability - EEMCS (supervisor 2)
Faculty
Electrical Engineering, Mathematics and Computer Science
Copyright: © 2020 Guillermo Wildschut
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Published Date

10-11-2020

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

In 2011 Avsec showed strong solidity of the q-Gaussian algebras, building upon previous results of Houdayer and Shlyakhtenko, and Ozawa and Popa. In this work we study this result as well as the necessary literature and q-mathematics needed to replicate the proof. The literature is combined within this thesis, whilst additionally filling in gaps in Avsec's proofs. Overall, the thesis aims to present an improved and more accessible proof of the strong solidity of the q-Gaussian algebras.