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

共 37 条

[1] The Algebra of Formal Twisted Pseudodifferential Symbols and a Noncommutative Residue
Farzad Fathi Zadeh
Masoud Khalkhali
Letters in Mathematical Physics, 2010, 94 : 41 - 61
[2] On the Noncommutative Residue for Pseudodifferential Operators with log-Polyhomogeneous Symbols
Matthias Lesch
Annals of Global Analysis and Geometry, 1999, 17 : 151 - 187
[3] On the noncommutative residue for pseudodifferential operators with log-polyhomogeneous symbols
Lesch, M
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 1999, 17 (02) : 151 - 187
[4] Residue traces for a pseudodifferential operator algebra on foliated manifolds
Nicola, F
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2003, 46 (04) : 473 - 487
[5] Residue Traces for a Pseudodifferential Operator Algebra on Foliated Manifolds
Fabio Nicola
Integral Equations and Operator Theory, 2003, 46 : 473 - 487
[6] Twisted Dirac operators and the noncommutative residue for manifolds with boundary
Wang, Jian
Wang, Yong
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2016, 7 (02) : 181 - 211
[7] Twisted Dirac operators and the noncommutative residue for manifolds with boundary
Jian Wang
Yong Wang
Journal of Pseudo-Differential Operators and Applications, 2016, 7 : 181 - 211
[8] An equivariant noncommutative residue
Dave, Shantanu
JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2013, 7 (03) : 709 - 735
[9] Algebras of p-symbols, noncommutative p-residue, and the Brauer group
Wodzicki, Mariusz
NONCOMMUTATIVE GEOMETRY AND GLOBAL ANALYSIS, 2011, 546 : 283 - 304
[10] Anisotropic classes of homogeneous pseudodifferential symbols
Benyi, Arpad
Bownik, Marcin
STUDIA MATHEMATICA, 2010, 200 (01) : 41 - 66

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