Deformations of Hopf C*-algebras

被引：109
作者：
Blanchard, E [1 ]
机构：
[1] FAC SCI LUMINY,DEPT MATH,F-13288 MARSEILLE 9,FRANCE
来源：
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 1996年 / 124卷 / 01期
关键词：
D O I：
10.24033/bsmf.2278
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a compact space X, we generalize the notion of multiplicative unitary introduced by Baaj and Skandalis (cf. [4]) to the framework of Hilbert C(X)-modules and we study its continuity properties (cf. [40]). We then associate to several deformations of Hopf C*-algebras constructed by Woronowicz (cf. [51], [53]) continuous fields of multiplicative unitaries and we prove that those deformations correspond to topological deformations.
引用
收藏
页码：141 / 215
页数：75
相关论文
共 53 条
[1]  
[Anonymous], TOHOKU MATH J
[2]  
BAAJ S, 1992, CR ACAD SCI I-MATH, V314, P1021
[3]  
BAAJ S, 1993, ANN SCI ECOLE NORM S, V26, P425
[4]  
Baaj S., 1980, THESIS U P M CURIE P
[5]  
BAAJ S, REPRESENTATION REGUL
[6]   MAPPINGS BETWEEN FUNCTION SPACES [J].
BARTLE, RG ;
GRAVES, LM .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 72 (MAY) :400-413
[7]  
BAUVAL A, RKK X NUCL
[8]  
BAUVAL A, 1992, 1408 URA
[9]  
Blackadar B., 1986, MATH SCI RES I PUBL, V5
[10]  
BLANCHARD E, 1992, CR ACAD SCI I-MATH, V314, P911
123456