Tensor Algebras of C∗-correspondences and Their C∗-envelopes.
نویسندگان
چکیده
We show that the C *-envelope of the tensor algebra of an arbitrary C *-correspondence X coincides with the Cuntz-Pimsner algebra O X , as defined by Katsura [7]. This improves earlier results of Muhly and Solel [13] and Fowler, Muhly and Raeburn [5], who came to the same conclusion under the additional hypothesis that X is strict and faithful.
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تاریخ انتشار 2005