C⁎-Basic Construction from the Conditional Expectation on the Drinfeld Double
Let D(G) be the Drinfeld double of a finite group G and D(G;H) be the crossed product of C(G) and CH, where H is a subgroup of G. Then the sets D(G) and D(G;H) can be made C⁎-algebras naturally. Considering the C⁎-basic construction C⁎〈D(G),e〉 from the conditional expectation E of D(G) onto D(G;H),...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/2041079 |
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| author | Qiaoling Xin Lining Jiang Tianqing Cao |
| author_facet | Qiaoling Xin Lining Jiang Tianqing Cao |
| author_sort | Qiaoling Xin |
| collection | DOAJ |
| description | Let D(G) be the Drinfeld double of a finite group G and D(G;H) be the crossed product of C(G) and CH, where H is a subgroup of G. Then the sets D(G) and D(G;H) can be made C⁎-algebras naturally. Considering the C⁎-basic construction C⁎〈D(G),e〉 from the conditional expectation E of D(G) onto D(G;H), one can construct a crossed product C⁎-algebra C(G/H×G)⋊CG, such that the C⁎-basic construction C⁎〈D(G),e〉 is C⁎-algebra isomorphic to C(G/H×G)⋊CG. |
| format | Article |
| id | doaj-art-7f55c8fc1d5a4459af89e009353c5081 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7f55c8fc1d5a4459af89e009353c50812025-02-03T01:32:17ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/20410792041079C⁎-Basic Construction from the Conditional Expectation on the Drinfeld DoubleQiaoling Xin0Lining Jiang1Tianqing Cao2School of Mathematical Sciences, Tianjin Normal University, Tianjin 300387, ChinaSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, ChinaLet D(G) be the Drinfeld double of a finite group G and D(G;H) be the crossed product of C(G) and CH, where H is a subgroup of G. Then the sets D(G) and D(G;H) can be made C⁎-algebras naturally. Considering the C⁎-basic construction C⁎〈D(G),e〉 from the conditional expectation E of D(G) onto D(G;H), one can construct a crossed product C⁎-algebra C(G/H×G)⋊CG, such that the C⁎-basic construction C⁎〈D(G),e〉 is C⁎-algebra isomorphic to C(G/H×G)⋊CG.http://dx.doi.org/10.1155/2019/2041079 |
| spellingShingle | Qiaoling Xin Lining Jiang Tianqing Cao C⁎-Basic Construction from the Conditional Expectation on the Drinfeld Double Journal of Function Spaces |
| title | C⁎-Basic Construction from the Conditional Expectation on the Drinfeld Double |
| title_full | C⁎-Basic Construction from the Conditional Expectation on the Drinfeld Double |
| title_fullStr | C⁎-Basic Construction from the Conditional Expectation on the Drinfeld Double |
| title_full_unstemmed | C⁎-Basic Construction from the Conditional Expectation on the Drinfeld Double |
| title_short | C⁎-Basic Construction from the Conditional Expectation on the Drinfeld Double |
| title_sort | c basic construction from the conditional expectation on the drinfeld double |
| url | http://dx.doi.org/10.1155/2019/2041079 |
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