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періодичних видань НАН України
Measure Theory in Noncommutative Spaces
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Measure Theory in Noncommutative Spaces
Інший ID:
2010 Mathematics Subject Classification: 46L51; 47B10; 58B34
DOI:10.3842/SIGMA.2010.072
DOI:10.3842/SIGMA.2010.072
Посилання:
Measure Theory in Noncommutative Spaces / S. Lord, F. Sukochev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 75 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.
The authors thank N. Kalton for many discussions concerning Dixmier traces and symmetric
functionals.
Дата:
2010
Переглядів:
503
Завантажень:
252
Анотація:
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 integral in NCG and some outstanding problems in this area. The review is aimed for the general user of NCG.
