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

Tom 215 / 2013

Maria Joiţa, Ioannis Zarakas 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

  • Maria JoiţaDepartment of Mathematics
    Faculty of Mathematics and Computer Science
    University of Bucharest
    Str. Academiei nr. 14
    Bucureşti, Romania
    e-mail
  • Ioannis ZarakasDepartment of Mathematics
    University of Athens
    Panepistimiopolis
    Athens 15784, Greece
    e-mail

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