Abstract:

 The frames of modules on compact operator algebras which are called Kmodules are considered. The theories of function analysis and operator algebras are used and the equivalent conditions of disjointness of frames on Hilbert Kmodule are given and proved. Finally, Two important conclusions about invariant problems on Hilbert C*-subalgebras are obtained by the index theories of C*-subalgebras When Hilbert C*-subalgebras are considered as a Hilbert K-module on itself.

Key words: Hilbert K-modules； module frames； disjointness； invariant