Measure Theory in Noncommutative Spaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Authors: Lord, S., Sukochev, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146508
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Measure Theory in Noncommutative Spaces / S. Lord, F. Sukochev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 75 назв. — англ.

The integral in noncommutative geometry (NCG) involves a non-standard trace called a Dixmier trace. The geometric origins of this integral are well known. From a measure-theoretic view, however, the formulation contains several difficulties. We review results concerning the technical features of the...