Measure Theory in Noncommutative Spaces

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...

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Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2010
Автори: Lord, S., Sukochev, F.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2010
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/146508
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Measure Theory in Noncommutative Spaces / S. Lord, F. Sukochev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 75 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Резюме: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.
ISSN:1815-0659