Journal
JOURNAL OF PURE AND APPLIED ALGEBRA
Volume 219, Issue 6, Pages 2062-2075Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jpaa.2014.07.023
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Funding
- Australian Research Council [DP120100507, FT100100503]
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Let G and H be ample groupoids and let R be a commutative unital ring. We show that if G and H are equivalent in the sense of Muhly-Renault-Williams, then the associated Steinberg algebras are Morita equivalent. We deduce that collapsing a collapsible subgraph of a directed graph in the sense of Crisp and Cow does not change the Morita-equivalence class of the associated Leavitt path R-algebra, and therefore a number of graphical constructions which yield Morita equivalent C*-algebras also yield Morita equivalent Leavitt path algebras. (C) 2014 Elsevier B.V. All rights reserved.
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