C⁎-Basic Construction from the Conditional Expectation on the Drinfeld Double

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),...

Full description

Bibliographic Details
Main Authors: Qiaoling Xin, Lining Jiang, Tianqing Cao
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/2041079
id doaj-7f55c8fc1d5a4459af89e009353c5081
record_format Article
spelling doaj-7f55c8fc1d5a4459af89e009353c50812020-11-25T01:13:25ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Qiaoling Xin
Lining Jiang
Tianqing Cao
spellingShingle Qiaoling Xin
Lining Jiang
Tianqing Cao
C⁎-Basic Construction from the Conditional Expectation on the Drinfeld Double
Journal of Function Spaces
author_facet Qiaoling Xin
Lining Jiang
Tianqing Cao
author_sort Qiaoling Xin
title 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_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_sort c⁎-basic construction from the conditional expectation on the drinfeld double
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2019-01-01
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.
url http://dx.doi.org/10.1155/2019/2041079
work_keys_str_mv AT qiaolingxin cbasicconstructionfromtheconditionalexpectationonthedrinfelddouble
AT liningjiang cbasicconstructionfromtheconditionalexpectationonthedrinfelddouble
AT tianqingcao cbasicconstructionfromtheconditionalexpectationonthedrinfelddouble
_version_ 1725162480774152192

Similar Items