TY - JOUR
T1 - C-basic construction from the conditional expectation on the drinfeld double
AU - Xin, Qiaoling
AU - Jiang, Lining
AU - Cao, Tianqing
AU - Montano, Mirella Cappelletti
N1 - Publisher Copyright:
© 2019 Qiaoling Xin et al.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85068557825&partnerID=8YFLogxK
U2 - 10.1155/2019/2041079
DO - 10.1155/2019/2041079
M3 - Article
AN - SCOPUS:85068557825
SN - 2314-8896
VL - 2019
JO - Journal of Function Spaces
JF - Journal of Function Spaces
M1 - 2041079
ER -