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 }$-crossed
products by strong bounded automorphisms.
DOI: http://dx.doi.org/10.7900/jot.2014may27.2025
Keywords: pro-$C^*$-algebra, Hilbert pro-$C^*$-bimodule,
crossed-product, pro-$C^*$-correspondence
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