C⁎-Basic Construction from the Conditional Expectation on the Drinfeld Double. (16th June 2019)

• Record Type: Journal Article
• Authors: Xin, Qiaoling; Jiang, Lining; Cao, Tianqing
• Other Names: Montano Mirella Cappelletti Guest Editor.
• Is Part Of: Journal of function spaces. Volume 2019(2019)
• Publication Date: 2019-06-16
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2019/2041079
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : LetD ( G ) be the Drinfeld double of a finite groupG andD ( G ; H ) be the crossed product ofC ( G ) andC H, whereH is a subgroup ofG . Then the setsD ( G ) andD ( G ; H ) can be madeC ⁎ -algebras naturally. Considering theC ⁎ -basic constructionC ⁎ 〈 D ( G ), e 〉 from the conditional expectationE ofD ( G ) ontoD ( G ; H ), one can construct a crossed productC ⁎ -algebraC ( G / H × G ) ⋊ C G, such that theC ⁎ -basic constructionC ⁎ 〈 D ( G ), e 〉 isC ⁎ -algebra isomorphic toC ( G / H × G ) ⋊ C G .