Product States of Infinite Tensor Product of JC-algebras
The objective of our study is to generalize the results on product states of the tensor product of two JC-algebras to infinite tensor product JC-algebras. Also, we characterize the tracial product state of the tensor product of two JC-algebras, and the tracial product state of infinite tensor produc...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-03-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/13/3/205 |
| _version_ | 1797242050989522944 |
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| author | Fatmah B. Jamjoom Fadwa M. Algamdei |
| author_facet | Fatmah B. Jamjoom Fadwa M. Algamdei |
| author_sort | Fatmah B. Jamjoom |
| collection | DOAJ |
| description | The objective of our study is to generalize the results on product states of the tensor product of two JC-algebras to infinite tensor product JC-algebras. Also, we characterize the tracial product state of the tensor product of two JC-algebras, and the tracial product state of infinite tensor products of JC-algebras. |
| first_indexed | 2024-04-24T18:33:04Z |
| format | Article |
| id | doaj.art-1f187476bf834115b870fc578ade19cc |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-04-24T18:33:04Z |
| publishDate | 2024-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-1f187476bf834115b870fc578ade19cc2024-03-27T13:21:07ZengMDPI AGAxioms2075-16802024-03-0113320510.3390/axioms13030205Product States of Infinite Tensor Product of JC-algebrasFatmah B. Jamjoom0Fadwa M. Algamdei1Department of Mathematics, College of Science, King Abdul Aziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, College of Science, Umm Al-Qura University, Makkah Al-Mukarramah 21955, Saudi ArabiaThe objective of our study is to generalize the results on product states of the tensor product of two JC-algebras to infinite tensor product JC-algebras. Also, we characterize the tracial product state of the tensor product of two JC-algebras, and the tracial product state of infinite tensor products of JC-algebras.https://www.mdpi.com/2075-1680/13/3/205C*-algebrasJC-algebrasJordan algebrasuniversal enveloping algebrasstatestensor products of operator algebras |
| spellingShingle | Fatmah B. Jamjoom Fadwa M. Algamdei Product States of Infinite Tensor Product of JC-algebras Axioms C*-algebras JC-algebras Jordan algebras universal enveloping algebras states tensor products of operator algebras |
| title | Product States of Infinite Tensor Product of JC-algebras |
| title_full | Product States of Infinite Tensor Product of JC-algebras |
| title_fullStr | Product States of Infinite Tensor Product of JC-algebras |
| title_full_unstemmed | Product States of Infinite Tensor Product of JC-algebras |
| title_short | Product States of Infinite Tensor Product of JC-algebras |
| title_sort | product states of infinite tensor product of jc algebras |
| topic | C*-algebras JC-algebras Jordan algebras universal enveloping algebras states tensor products of operator algebras |
| url | https://www.mdpi.com/2075-1680/13/3/205 |
| work_keys_str_mv | AT fatmahbjamjoom productstatesofinfinitetensorproductofjcalgebras AT fadwamalgamdei productstatesofinfinitetensorproductofjcalgebras |