Deformations of Algebras Constructed using Quantum Stochastic Calculus |
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| Authors: | Hudson R L Parthasarathy K R |
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| Institution: | (1) Department of Mathematics, Statistics and Operational Research, Nottingham Trent University, Burton Street, Nottingham, NG1 4BU, U.K;(2) Indian Statistical Institute, 7 S J S Sansanwal Marg, New Delhi, 110016, India |
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| Abstract: | Deformations of associative algebras in which time is the deformation parameter are constructed using quantum stochastic flows in which the usual multiplicativity requirement is replaced by multiplicativity with respect to the deformed multiplication. The theory is restricted by a commutativity requirement on the structure maps of the flow, but examples which can be constructed in this way include the noncommutative torus and the Weyl–Moyal deformation. |
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| Keywords: | deformations quantum stochastic calculus Hochschild cohomology |
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