Hochschild and cyclic homology of Steinberg algebras of ample groupoids decompose in terms of groupoid homology, and for Exel-Pardo algebras these invariants and K-theory are computed by explicit cones and exact sequences.
Algebra 333 (2011), 202–231
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Homology of Steinberg algebras
Hochschild and cyclic homology of Steinberg algebras of ample groupoids decompose in terms of groupoid homology, and for Exel-Pardo algebras these invariants and K-theory are computed by explicit cones and exact sequences.