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Journal of Operator Theory

Volume 74, Issue 1, Summer 2015  pp. 195-211.

A construction of pro-$C^*$-algebras from pro-$C^*$-correspondences

Authors:  Maria Joita (1) and Ioannis Zarakas (2)
Author institution:(1) Department of Mathematics, Faculty of Applied Sciences, University Politehnica of Bucharest, 313 Spl. Independentei, Bucharest, 060042, Romania and Simion Stoilow Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei, Bucharest, 010702, Romania
(2) Department of Mathematics, University of Athens, Panepistimiopolis, Athens, 15784, Greece

Summary: We associate a pro-$C^{\ast }$-algebra to a pro-$C^{\ast }$-correspondence and show that this construction generalizes the construction of crossed products by Hilbert pro-$C^{\ast }$-bimodules and the construction of pro-$ C^{\ast }$-crossed products by strong bounded automorphisms.

Keywords: pro-$C^*$-algebra, Hilbert pro-$C^*$-bimodule, crossed-product, pro-$C^*$-correspondence

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