Work

Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles

Year: 2014

Type: article

Abstract: It is proved that the (volume and orientation-preserving) quantum isometry group of a spectral triple obtained by deformation by some dual unitary 2-cocycle is isomorphic with a similar twist-deformation of the quantum isometry group of the original (undeformed) spectral triple.This result generalizes similar work by Bhowmick and Goswami for Rieffel-deformed spectral triples in [Comm.Math.Phys.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2014.076

Author: Debashish Goswami

Institution: Indian Statistical Institute

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2094617382

FWCI: 1.603

Cites: 40

Cited by: 7

Related to: 9