Processing math: 0%

Wykorzystujemy pliki cookies aby ułatwić Ci korzystanie ze strony oraz w celach analityczno-statystycznych.

A+ CATEGORY SCIENTIFIC UNIT

Crossed products by Hilbert pro--bimodules

Volume 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

Abstract

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.

Authors

  • 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

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image