Carey AL; Phillips J; Rennie A; Sukochev FA, 2013, 'The Local Index Formula in Noncommutative Geometry Revisited', in
Noncommutative Geometry and Physics 3, WORLD SCIENTIFIC, presented at Proceedings of the Noncommutative Geometry and Physics 2008, on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry,
http://dx.doi.org/10.1142/9789814425018_0001