Crossed products of Hilbert C*-modules

被引：0

作者：

Bui, HH ^{[1
]}

机构：

[1] MACQUARIE UNIV,SCH MATH PHYS COMP & ELECT,SYDNEY,NSW 2109,AUSTRALIA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 05期

关键词：

D O I：

10.1090/S0002-9939-97-03656-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define the notion of crossed products of Hilbert C*-modules by regular multiplicative unitaries, which is a generalization of the notion of crossed products of C*-algebras. Crossed products of Hilbert C+-modules arise naturally as imprimitivity bimodules for the crossed products of Morita equivalent C*-algebras.

引用

页码：1341 / 1348

页数：8

共 11 条

[1]

[Anonymous], 1995, LONDON MATH SOC LECT

[2]

BAAJ S, 1993, ANN SCI ECOLE NORM S, V26, P425

[3]

BAAJ S, 1989, K-THEORY, V2, P683

[4]

Blackadar B., 1986, MATH SCI RES I PUBLI, V5

[5] MORITA EQUIVALENCE OF TWISTED CROSSED-PRODUCTS BY COACTIONS [J].

BUI, HH .

JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 123 (01) :59-98

[6] Full coactions on Hilbert C*-modules [J].

Bui, HH .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1995, 59 :409-420

[7]

Doran R. S., 1979, Lecture Notes in Math., V768

[8] Multipliers of imprimitivity bimodules and Morita equivalence of crossed products [J].

Echterhoff, S ;

Raeburn, I .

MATHEMATICA SCANDINAVICA, 1995, 76 (02) :289-309

[9] REPRESENTATIONS OF CROSSED-PRODUCTS BY COACTIONS AND PRINCIPAL BUNDLES [J].

LANDSTAD, MB ;

PHILLIPS, J ;

RAEBURN, I ;

SUTHERLAND, CE .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 299 (02) :747-784

[10]

SAKAI S, 1971, ERGEBNISSE MATH, V60

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