# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## Crossed products by Hilbert pro-$C^{\ast }$-bimodules

### Tom 215 / 2013

Studia Mathematica 215 (2013), 139-156 MSC: Primary 46L05, 46L08; Secondary 46L55, 46H25. DOI: 10.4064/sm215-2-4

#### Streszczenie

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.

#### Autorzy

Faculty of Mathematics and Computer Science
University of Bucharest
Bucureşti, Romania
e-mail
• Ioannis ZarakasDepartment of Mathematics
University of Athens
Panepistimiopolis
Athens 15784, Greece
e-mail

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