The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Journal of Noncommutative Geometry


Full-Text PDF (463 KB) | Metadata | Table of Contents | JNCG summary
Online access to the full text of Journal of Noncommutative Geometry is restricted to the subscribers of the journal, who are encouraged to communicate their IP-address(es) to their agent or directly to the publisher at
subscriptions@ems-ph.org
Volume 12, Issue 1, 2018, pp. 279–330
DOI: 10.4171/JNCG/277

Published online: 2018-03-23

The maximal quantum group-twisted tensor product of C*-algebras

Sutanu Roy[1] and Thomas Timmermann[2]

(1) National Institute of Science Education and Research (NISER), Jatni, India
(2) Universität Münster, Germany

We construct a maximal counterpart to the minimal quantum group-twisted tensor product of C*-algebras studied by Meyer, Roy and Woronowicz [16, 17], which is universal with respect to representations satisfying certain braided commutation relations. Much like the minimal one, this product yields a monoidal structure on the coactions of a quasi-triangular C*-quantum group, the horizontal composition in a bicategory of Yetter–Drinfeld C*-algebras, and coincides with a Rieffel deformation of the non-twisted tensor product in the case of group coactions.

Keywords: C*-algebra, tensor product, crossed product, quantum group

Roy Sutanu, Timmermann Thomas: The maximal quantum group-twisted tensor product of C*-algebras. J. Noncommut. Geom. 12 (2018), 279-330. doi: 10.4171/JNCG/277