A Hilbert bundle characterization of Hilbert C*-modules

被引：4

作者：

Elliott, George A. ^{[1
]}

Kawamura, Katsunori ^{[2
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

[2] Ritsumeikan Univ, Dept Math, Shiga 5258577, Japan

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 360卷 / 09期

关键词：

D O I：

10.1090/S0002-9947-08-04600-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The category of Hilbert C*-modules over a given C*-algebra is shown to be equivalent to a certain simply described category of Hilbert bundles (i.e., continuous fields of Hilbert spaces) over the space of pure states of the C*-algebra with the zero functional adjoined.

引用

页码：4841 / 4862

页数：22

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