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Note on bi-exactness for creation operators on Fock spaces

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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,… Click to show full abstract

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.

Keywords: exactness creation; fock spaces; creation operators; note exactness; operators fock

Journal Title: Journal of the Mathematical Society of Japan
Year Published: 2021

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