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pro vyhledávání: '"Taipe, Frank"'
Autor:
Taipe, Frank
In this work, we introduce a class of Timmermann's measured multiplier Hopf *-algebroids called algebraic quantum transformation groupoids of compact type. Each object in this class admits a Pontrjagin-like dual called an algebraic quantum transforma
Externí odkaz:
http://arxiv.org/abs/2306.17753
We describe explicitly all actions of the quantum permutation groups on classical compact spaces. In particular, we show that the defining action is the only non-trivial ergodic one. We then extend these results to all easy quantum groups associated
Externí odkaz:
http://arxiv.org/abs/2306.17502
Autor:
Taipe, Frank
In the present work, we study Yetter-Drinfeld algebras over a pairing of multiplier Hopf algebras. Our main motivation is the construction of a self-dual theory of (C*-)algebraic quantum transformation groupoids. Instead of the standard characterizat
Externí odkaz:
http://arxiv.org/abs/2211.16491
Autor:
Taipe, Frank
In this work, we study another characterization of Yetter-Drinfeld algebras over finite-dimensional Hopf algebras. We show the equivalence between this characterization, called the "only coaction" characterization, and the standard "action-coaction"
Externí odkaz:
http://arxiv.org/abs/2211.02189
We give a new alternative version of the reconstruction procedure for ergodic actions of compact quantum groups and we refine it to include characterizations of (braided commutative) Yetter-Drinfeld C*-algebras. We then use this to construct families
Externí odkaz:
http://arxiv.org/abs/2112.07506
Autor:
Freslon, Amaury1 (AUTHOR), Taipe, Frank1 (AUTHOR), Wang, Simeng2 (AUTHOR) simeng.wang@hit.edu.cn
Publikováno v:
Communications in Mathematical Physics. Apr2023, Vol. 399 Issue 1, p105-172. 68p.
Akademický článek
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Autor:
Taipe, Frank
Publikováno v:
Operator Algebras [math.OA]. Université de Caen Normandie, 2018. English
This thesis is concerned with the construction of a family of quantum transformation groupoids in the algebraic framework in the form of measured multiplier Hopf *-algebroids in the sense of Timmermann and Van Daele and also in the context of operato
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::f7239492ac442c66e0a942b08621cf7c
https://hal.archives-ouvertes.fr/tel-02288186/document
https://hal.archives-ouvertes.fr/tel-02288186/document
Autor:
Frank Taipe
Publikováno v:
HAL
This thesis is concerned with the construction of a family of quantum transformation groupoids in the algebraic framework in the form of measured multiplier Hopf *-algebroids in the sense of Timmermann and Van Daele and also in the context of operato
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::e1bb3f50513d493bfff84afb4a37f204
https://hal.archives-ouvertes.fr/tel-02288186v3
https://hal.archives-ouvertes.fr/tel-02288186v3