Heat Trace Asymptotics on Noncommutative Spaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Author: Vassilevich, D.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147205
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Heat Trace Asymptotics on Noncommutative Spaces / D.V. Vassilevich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 48 назв. — англ.

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.