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Matthew Gillespie,
S. Kaliszewski,
John Quigg, and
Dana P. Williams
Bijections between sets of invariant ideals, via the ladder technique
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| Published: |
December 17, 2024. |
| Keywords: |
action, coaction, crossed product duality, ideal, Morita equivalence. |
| Subject [2010]: |
Primary 46L55. |
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Abstract
We present a new method of establishing a bijective correspondence
--- in fact, a lattice isomorphism ---
between action- and coaction-invariant ideals of C*-algebras and
their crossed products by a fixed locally compact group. It
is known that such a correspondence exists whenever the
group is amenable; our results hold for any locally compact group
under a natural form of coaction invariance.
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| Acknowledgements
N/A
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| Author information
Matthew Gillespie
School of Mathematical and Statistical Sciences
Arizona State University
Tempe, Arizona 85287, USA
mjgille1@asu.edu
S. Kaliszewski
School of Mathematical and Statistical Sciences
Arizona State University
Tempe, Arizona 85287, USA
kaliszewski@asu.edu
John Quigg
School of Mathematical and Statistical Sciences
Arizona State University
Tempe, Arizona 85287, USA
quigg@asu.edu
Dana P. Williams
Department of Mathematics
Dartmouth College
Hanover, NH 03755-3551, USA
dana.williams@Dartmouth.edu
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