Geodesic
Crossed products by Hilbert pro-$C^{\ast }$-bimodules
Maria Joiţa1 ; Ioannis Zarakas2
1 Department of Mathematics Faculty of Mathematics and Computer Science University of Bucharest Str. Academiei nr. 14 Bucureşti, Romania
2 Department of Mathematics University of Athens Panepistimiopolis Athens 15784, Greece
Studia Mathematica, Tome 215 (2013) no. 2, pp. 139-156

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We define the crossed product of a pro-$C^{*}$-algebra $A$ by a Hilbert $A\text {-}\hskip -1pt A$ pro-$C^{*}$-bimodule and we show that it can be realized as an inverse limit of crossed products of $C^{*}$-algebras by Hilbert $C^{*}$-bimodules. We also prove that under some conditions the crossed products of two Hilbert pro-$C^{\ast }$-bimodules over strongly Morita equivalent pro-$C^{\ast }$-algebras are strongly Morita equivalent.
DOI : 10.4064/sm215-2-4
Keywords: define crossed product pro c * algebra hilbert text hskip pro c * bimodule realized inverse limit crossed products * algebras hilbert * bimodules prove under conditions crossed products hilbert pro c ast bimodules strongly morita equivalent pro c ast algebras strongly morita equivalent

Maria Joiţa 1 ; Ioannis Zarakas 2

1 Department of Mathematics Faculty of Mathematics and Computer Science University of Bucharest Str. Academiei nr. 14 Bucureşti, Romania
2 Department of Mathematics University of Athens Panepistimiopolis Athens 15784, Greece 
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Maria Joiţa; Ioannis Zarakas. Crossed products by Hilbert pro-$C^{\ast }$-bimodules. Studia Mathematica, Tome 215 (2013) no. 2, pp. 139-156. doi: 10.4064/sm215-2-4

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