Journal of Operator Theory

Volume 64, Issue 1, Summer 2010 pp. 19-34.

Takai duality for crossed products by Hilbert *-bimodules

Authors: Beatriz Abadie
Author institution: Centro de Matematica, Facultad de Ciencias, Igua 4225, CP 11 400, Montevideo, Uruguay

Summary: We discuss the crossed product by the dual action

$\delta$ of the circle on the crossed product

$\acx$ of a \cstar-algebra

$A$ by a Hilbert \cstar-bimodule

$X$ . When

$X$ is an

$A$ -

$A$ Morita equivalence bimodule, the double crossed product

$A\rtimes X\rtimes_\delta S^1$ is shown to be Morita equivalent to the \cstar-algebra

$A$ .

Contents Full-Text PDF