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  1. ; ; ; (, Journal of Functional Analysis)
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  2. ; ; ; (, Communications in Mathematical Physics)
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  3. ; ; (, International Mathematics Research Notices)
    Abstract We prove that the twisted property RD introduced in [ 2] fails to hold for all non-Kac type, non-amenable orthogonal free quantum groups. In the Kac case we revisit property RD, proving an analogue of the $$L_p-L_2$$ non-commutative Khintchine inequality for free groups from [ 29]. As an application, we give new and improved hypercontractivity and ultracontractivity estimates for the generalized heat semigroups on free orthogonal quantum groups, both in the Kac and non-Kac cases. 
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  4. ; ; ; ; ; ; (, Communications in Mathematical Physics)
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  5. ; ; (, Advances in Mathematics)
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  6. ; ; ; (, Journal of Noncommutative Geometry)
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  7. ; (, Contemporary mathematics)
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  8. ; (, Journal of Functional Analysis)
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  9. ; (, Communications in Mathematical Physics)
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  10. ; (, Advances in Mathematics)
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