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.

引用

页码：41 / 61

页数：21

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