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arXiv · 1212.0361

Topological freeness for Hilbert bimodules

B. K. Kwasniewski
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Abstract

It is shown that topological freeness of Rieffel's induced representation functor implies that any $C^*$-algebra generated by a faithful covariant representation of a Hilbert bimodule $X$ over a $C^*$-algebra $A$ is canonically isomorphic to the crossed product $A\rtimes_X \mathbb{Z}$. An ideal lattice description and a simplicity criterion for $A\rtimes_X \mathbb{Z}$ are established.

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B. K. Kwasniewski. 2012-12-03. Topological freeness for Hilbert bimodules. https://doi.org/10.1007/s11856-013-0057-0

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