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Noncommutative residues for pseudo-differential operators on the noncommutative two-torus

✍ Scribed by Farzad Fathizadeh; M. W. Wong


Book ID
107532161
Publisher
SP Birkhäuser Verlag Basel
Year
2011
Tongue
English
Weight
210 KB
Volume
2
Category
Article
ISSN
1662-9981

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We study quantum stochastic parallel transport processes where the noise terms arise from quantum Brownian motion in Fock space and the connection is chosen to minimize the Yang-Mills functional on a Heisenberg module over the smooth algebra of the noncommutative two-torus. Each such process yields