Abstract
For two covariant differential *-calculi, the twisted cyclic cocycle associated with the volume form is represented in terms of commutators \(\left[ {\mathcal{F},\rho \left( x \right)} \right]\) for some self-adjoint operator \(\mathcal{F}\) and some *-representation ρ of the underlying *-algebra.
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Schmüdgen, K., Wagner, E. Examples of Twisted Cyclic Cocycles from Covariant Differential Calculi. Letters in Mathematical Physics 64, 245–254 (2003). https://doi.org/10.1023/A:1025720201151
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DOI: https://doi.org/10.1023/A:1025720201151