Reconstruction of graded groupoids from graded Steinberg algebras
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AbstractWe show how to reconstruct a graded ample Hausdorff groupoid with topologically principal neutrally graded component from the ring structure of its graded Steinberg algebra over any commutative integral domain with 1, together with the embedding of the canonical abelian subring of functions supported on the unit space. We deduce that diagonal-preserving ring isomorphism of Leavitt path algebras implies {C^{*}}-isomorphism of {C^{*}}-algebras for graphs E and F in which every cycle has an exit.
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2018 ◽
Vol 104
(3)
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pp. 403-411
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2014 ◽
Vol 97
(3)
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pp. 418-429
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2011 ◽
Vol 333
(1)
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pp. 258-272
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2016 ◽
Vol 45
(5)
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pp. 1893-1906
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2013 ◽
Vol 62
(5)
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pp. 1587-1620
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2019 ◽
Vol 19
(09)
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pp. 2050165
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