A Hilbert bundle characterization of Hilbert C*-modules

George A. Elliott, Katsunori Kawamura
2008 Transactions of the American Mathematical Society  
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.
doi:10.1090/s0002-9947-08-04600-x fatcat:4af56emtyjhshkyr72ncteux2e