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On Strongly Closed and Tracial Star-Products on Poisson Manifolds

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Coherent States and Their Applications

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 205))

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Abstract

We prove that on a symplectic manifold M, every star-product \(\star _\nu \) is cohomologuous to a tracial one i.e.

$$ \int _M u\star _\nu v\;=\;\int u\,v\;.$$

Dedicated to the memory of S. Twareque Ali.

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References

  1. A. Connes, M. Flato, D. Sternheimer, Closed star products and cyclic cohomology. Lett. Math. Phys. 24, 1–12 (1992)

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Correspondence to Pierre Bieliavsky .

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Bieliavsky, P. (2018). On Strongly Closed and Tracial Star-Products on Poisson Manifolds. In: Antoine, JP., Bagarello, F., Gazeau, JP. (eds) Coherent States and Their Applications. Springer Proceedings in Physics, vol 205. Springer, Cham. https://doi.org/10.1007/978-3-319-76732-1_16

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