Deformations of algebras constructed using quantum stochastic calculus

被引：0
|
作者：
Hudson, RL
Parthasarathy, KR
机构：
[1] Nottingham Trent Univ, Dept Math Stat & Operat Res, Nottingham NG1 4BU, England
[2] Indian Stat Inst, New Delhi 110016, India
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1999年 / 50卷 / 02期
关键词：
deformations; quantum stochastic calculus; Hochschild cohomology;
D O I：
10.1023/A:1007604508064
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页码：115 / 133
页数：19
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