Structure of extensions of free Araki-Woods factors

Houdayer, Cyril; Trom, Benjamin

doi:10.48550/arxiv.1812.08478

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Free Wreath Products1

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2021

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“…• The case of full symmetric Fock space (i.e. actions on free Araki-Woods factors) was studied in [HS09,Ho12,HT18]. When Γ is amenable, the solidity is easily deduced from [HT18, Theorem D].…”

Section: Free Wreath Productsmentioning

confidence: 99%

Note on bi-exactness for creation operators on Fock spaces

Hasegawa¹,

Isono²,

Kanda³

2021

Preprint

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In this note, we introduce and study a notion of bi-exactness for creation operators acting on full, symmetric and anti-symmetric Fock spaces. This is a generalization of our previous work, in which we studied the case of anti-symmetric Fock spaces. As a result, we obtain new examples of solid actions as well as new proofs for some known solid actions. We also study free wreath product groups in the same context.

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Section: Free Wreath Productsmentioning

confidence: 99%