A Canonical Trace Associated with Certain Spectral Triples

被引：4
作者：
Paycha, Sylvie [1 ]
机构：
[1] Math Lab, F-63177 Aubiere, France
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2010年 / 6卷
关键词：
spectral triples; zeta regularisation; noncommutative residue; discrepancies; ELLIPTIC-OPERATORS; GEOMETRY; FORMULA;
D O I：
10.3842/SIGMA.2010.077
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the abstract pseudodifferential setup of Connes and Moscovici, we prove a general formula for the discrepancies of zeta-regularised traces associated with certain spectral triples, and we introduce a canonical trace on operators, whose order lies outside (minus) the dimension spectrum of the spectral triple.
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页数：17
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