Heat Trace Asymptotics on Noncommutative Spaces

Abstract

This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are also considered.

This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (3)

• Induced Gauge Theory on a Noncommutative Space
• Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
• On space-time noncommutative theories at finite temperature

Cited by in corpus (3)

• Noncommutative Geometries and Gravity
• Quantum corrections to the noncommutative kink
• Nilpotent noncommutativity and renormalization