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Department of Mathematics,
University of California San Diego

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Math 243: Functional Analysis Seminar

Hui Tan

UCLA

Structure and non-isomorphisms of q-Araki-Woods factors

Abstract:

Hiai’s construction of q-Araki-Woods factors generalizes both Shlyakhtenko’s free Araki-Woods factors and Bozejko-Speicher’s q-Gaussian algebras. I will discuss joint work with Changying Ding where we show the q -Araki-Woods factors are strongly solid if the associated representation U is almost periodic, and the non-isomorphism between q-Araki-Woods factors and free Araki-Woods factors for certain classes of representations, contrasting the case for q-Gaussians.

March 10, 2026

11:00 AM

APM 6402

Research Areas

Functional Analysis / Operator Theory

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