References
- Alonso Álvarez, J. N., Fernández Vilaboa, J. M., González Rodríguez, R. (2001). On the (co)commutativity class of a Hopf algebra and crossed products in a braided category. Commun. Algebra 29(12):5857–5878.
- Böhm, G. (2014). Comodules over weak multiplier bialgebras. Int. J. Math. 25(5):1450037.
- Böhm, G. (2015). Yetter-Drinfeld modules over weak multiplier bialgebras. Israel J. Math. 209(1):85–123.
- Böhm, G., Brzezinski, T. (2005). Cleft extensions of Hopf algebroids. Appl. Cat. Structures 14(5):431–469.
- Böhm, G., Gómez-Torrecillas, J., López-Centella, E. (2015). Weak multiplier bialgebras. Trans. Amer. Math. Soc. 367(12):8681–8721.
- Caenepeel, S., De Groot, E. (2000). Modules over weak entwining structures. Contemp. Math. 267:31–54.
- Delvaux, L. (2002). Semi-direct products of multiplier Hopf algebras: Smash products. Commun. Algebra 30: 5961–5977.
- Delvaux, L. (2002). Semi-direct products of multiplier Hopf algebras: Smash coproducts. Commun. Algebra 30: 5979–5997.
- Drabant, B., Van Daele, A., Zhang, Y. (1999). Actions of multiplier Hopf algebras. Commun. Algebra 27(9): 4117–4172.
- Kahng, B. J., Van Daele, A. (2017). The Larson-Sweedler theorem for weak multiplier Hopf algebras. Commun. Algebra. DOI: 10.1080/00927872.2017.1355714
- Molnar, R. K. (1977). Semi-direct products of Hopf algebras. J. Algebra 47:29–51.
- Nill, F., Szlachányi, K., Wiesbrock, H. W. (1998). Weak Hopf algebras and reducible Jones inclusions of depth 2. I: From crossed products to Jones towers. (arXiv:math/9806130v1).
- Nikshych, D. (2000). A duality theorem for quantum groupoids. Contemp. Math. 267:237–243.
- Paques, A., Flôres, D. (2014). Duality for groupoid (co)actions, Commun. Algebra 42:637–663.
- Rodríguez Raposo, A. B. (2009). Crossed products for weak Hopf algebras. Commun. Algebra 37:2274–2289.
- Timmermann, T. (2016). Integration on algebraic quantum groupoids. Int. J. Math. 27(02):1650014.
- Timmermann, T. (2017). On duality of algebraic quantum groupoids. Adv. Math. 309:692–746.
- Van Daele, A. (1994). Multiplier Hopf algebras. Trans. Amer. Math. Soc. 342(2):917–932.
- Van Daele, A., Wang, S. H. (2012). Weak Multiplier Hopf algebras. Preliminaries, motivation and basic examples. In: Pusz, W., Soltan, P.M., eds. Operator Algebras and Quantum Groups, Vol. 98. Warsaw: Banach Center Publications, pp. 367–415.
- Van Daele, A., Wang, S. H. (2014). Weak multiplier Hopf algebras II. The source and target algebras. ArXiv: 1403.7906v2.
- Van Daele, A., Wang, S. H. (2015). Weak Multiplier Hopf Algebras. The main theory. Weak Multiplier Hopf Algebras. The main theory. 705:155–209.
- Van Daele, A., Wang, S. H. (2017). Weak multiplier Hopf algebras III. Integrals and Duality. arXiv: 1701.0495v3.
- Zhou, N., Wang, S. H. (2017). A duality theorem for weak multiplier Hopf algebras actions. Int. J. Math. 28(5):1750032.
- Zhou, X., Wang, S. H. (2010). The duality theorem for weak Hopf algebra(Co) actions. Commun. Algebra 38: 4613–4632.