Abstract
Given a compact quantum group action on a von Neumann algebra and a dual unitary 2-cocycle on the quantum group, we show that the definitions of the deformed algebras given in [3] and [2] are equivalent. Moreover, the deformed von Neumann algebra coincides with the generalized fixed point subalgebra in the sense of ([3]).
Mathematics Subject Classification (2010). 46L65, 46L89, 81R50
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Goswami, D., Joardar, S. (2015). Deformation by Dual Unitary Cocycles and Generalized Fixed Point Algebra for Quantum Group Actions. In: Bhattacharyya, T., Dritschel, M. (eds) Operator Algebras and Mathematical Physics. Operator Theory: Advances and Applications, vol 247. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18182-0_3
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DOI: https://doi.org/10.1007/978-3-319-18182-0_3
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-18181-3
Online ISBN: 978-3-319-18182-0
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