Topological freeness for C⁎-correspondences
نویسندگان
چکیده
منابع مشابه
Essential Representations of C-correspondences
Let E be a C∗-correspondence over a C∗-algebraA with non-degenerate faithful left action. We show that E admits sufficiently many essential representations (i.e. representations ψ such that ψ(E)H = H) to recover the Cuntz-Pimsner algebra OE.
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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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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2019
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2018.12.069