Strong solidity of q-Gaussian algebras
A.G. Wildschut (TU Delft - Electrical Engineering, Mathematics and Computer Science)
M.P.T. Caspers – Mentor (TU Delft - Analysis)
Jan Van Neerven – Graduation committee member (TU Delft - Analysis)
Richard KRAAIJ – Graduation committee member (TU Delft - Applied Probability)
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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.