Deformations of spectral triples and their quantum isometry groups via monoidal equivalences

作者：De Sadeleer Liebrecht^*

来源：Letters in Mathematical Physics, 2017, 107(4): 673-715.

DOI：10.1007/s11005-016-0900-4

• Compact quantum groups
• Monoidal equivalence
• Noncommutative geometry
• Spectral triple
• Deformation
• Quantum isometry group

In this paper, we propose a new procedure to deform spectral triples and their quantum isometry groups. The deformation data are a spectral triple (A, H, D), a compact quantum group G acting algebraically and by orientation-preserving isometries on(A, H, D) and a unitary fiber functor (sic) on G. The deformation procedure is a proper generalization of the cocycle deformation of Goswami and Joardar.

• 出版日期2017-4