Publication
Title
Deformation quantization with traces
Author
Abstract
In this Letter we prove a statement closely related to the cyclic formality conjecture. In particular, we prove that for a constant volume form Ω and a Poisson bivector field π on R d such that divΩπ=0, the Kontsevich star product with the harmonic angle function is cyclic, i.e. ∫Rd (f*g)·h·Ω=∫ ∫Rd (g*h)·f·Ω for any three functions f,g,h on Rd (for which the integrals make sense). We also prove a globalization of this theorem in the case of arbitrary Poisson manifolds and an arbitrary volume form, and prove a generalization of the ConnesFlatoSternheimer conjecture on closed star products in the Poisson case.
Language
English
Source (journal)
Letters in mathematical physics. - Dordrecht
Publication
Dordrecht : 2000
ISSN
0377-9017
Volume/pages
53:1(2000), p. 75-86
ISI
000165478300007
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Publication type
Subject
External links
Web of Science
Record
Identification
Creation 17.10.2014
Last edited 17.07.2017