| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2018 |
| Язык | английский |
|
Гумеров Ренат Нельсонович, автор
|
| Библиографическое описание на языке оригинала |
Gumerov R., Lipacheva E., Grigoryan T., On a topology and limits for inductive systems of $C^*$-algebras over partially ordered sets//http://arxiv.org/abs/1811.01234 |
| Аннотация |
Motivated by algebraic quantum field theory and our previous work we study
properties of inductive systems of \ $C^*$-algebras over arbitrary partially
ordered sets. A partially ordered set can be represented as the union of the
family of its maximal upward directed subsets indexed by elements of a certain
set. We consider a topology on the set of indices generated by a base of
neighbourhoods. Examples of those topologies with different properties are
given. An inductive system of $C^*$-algebras and its inductive limit arise
naturally over each maximal upward directed subset. Using those inductive
limits, we construct different types of $C^*$-algebras. In particular, for
neighbourhoods of the topology on the set of indices we deal with the
$C^*$-algebras which are the direct products of those inductive limits. The
present paper is concerned with the above-mentioned topology and the algebras
arising from an inductive system of $C^*$-algebras over a partially ordered
set. |
| Ключевые слова |
$C^*$-algebra, Inductive system |
| Название журнала |
arXiv.org
|
| URL |
http://arxiv.org/abs/1811.01234 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=188062 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Гумеров Ренат Нельсонович |
ru_RU |
| dc.date.accessioned |
2018-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2018-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2018 |
ru_RU |
| dc.identifier.citation |
Gumerov R., Lipacheva E., Grigoryan T., On a topology and limits for inductive systems of $C^*$-algebras over partially ordered sets//http://arxiv.org/abs/1811.01234 |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=188062 |
ru_RU |
| dc.description.abstract |
arXiv.org |
ru_RU |
| dc.description.abstract |
Motivated by algebraic quantum field theory and our previous work we study
properties of inductive systems of \ $C^*$-algebras over arbitrary partially
ordered sets. A partially ordered set can be represented as the union of the
family of its maximal upward directed subsets indexed by elements of a certain
set. We consider a topology on the set of indices generated by a base of
neighbourhoods. Examples of those topologies with different properties are
given. An inductive system of $C^*$-algebras and its inductive limit arise
naturally over each maximal upward directed subset. Using those inductive
limits, we construct different types of $C^*$-algebras. In particular, for
neighbourhoods of the topology on the set of indices we deal with the
$C^*$-algebras which are the direct products of those inductive limits. The
present paper is concerned with the above-mentioned topology and the algebras
arising from an inductive system of $C^*$-algebras over a partially ordered
set. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
$C^*$-algebra |
ru_RU |
| dc.subject |
Inductive system |
ru_RU |
| dc.title |
Gumerov R., Lipacheva E., Grigoryan T., On a topology and limits for inductive systems of $C^*$-algebras over partially ordered sets |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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