CROSSED-PRODUCTS OF HILBERT C-ASTERISK-BIMODULES BY BUNDLES

We present the definition of crossed products of Hilbert C-bimodules by Hilbert bundles with commuting finite group actions and finite dime nsional fibers. This is a general construction containing the bundle c onstruction and crossed products of Hilbert C-bimodule by finite grou ps. We also study the structure of endomorphism algebras of the tensor products of bimodules. We also define the multiple crossed products u sing three bimodules containing more than 2 bundles and show the assoc iativity law. Moreover, we present some examples of crossed product bi modules easily computed by our method.