The Algebra of Formal Twisted Pseudodifferential Symbols and a Noncommutative Residue

被引：2
|
作者：
Zadeh, Farzad Fathi [1 ]
Khalkhali, Masoud [1 ]
机构：
[1] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2010年 / 94卷 / 01期
关键词：
algebra of pseudodifferential symbols; noncommutative residue; twisted spectral triples; OPERATORS; FORMULA;
D O I：
10.1007/s11005-010-0419-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Motivated by Connes-Moscovici's notion of a twisted spectral triple, we define an algebra of formal twisted pseudodifferential symbols with respect to a twisting of the base algebra. We extend the Adler-Manin trace and the logarithmic cocycle on the algebra of pseudodifferential symbols to our twisted setting. We also give a general method to construct twisted pseudodifferential symbols on crossed product algebras.
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页码：41 / 61
页数：21
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