Crossed products by Hilbert pro-C*-bimodules

• Autorzy: Maria Joiţa , Ioannis Zarakas
• Języki publikacji: EN

Abstrakty

EN

We define the crossed product of a pro-C*-algebra A by a Hilbert A-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*-bimodules over strongly Morita equivalent pro-C*-algebras are strongly Morita equivalent.

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 46L55: Noncommutative dynamical systems
• 46L08: C * -modules

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 215
• Numer: 2
• Strony: 139-156

Daty

wydano

2013

Twórcy

autor

Maria Joiţa

• Department of Mathematics, Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei nr. 14, Bucureşti, Romania

autor

Ioannis Zarakas

• Department of Mathematics, University of Athens, Panepistimiopolis, Athens 15784, Greece

Identyfikatory

DOI

10.4064/sm215-2-4