Leavitt vs. $C^*$ pullbacks

Published 20 Sep 2019 in math.CT, math.FA, and math.OA | (1909.09624v2)

Abstract: We show that certain pullbacks of $$-algebras equivariant with respect to a compact group action remain pullbacks upon completing to $C^$-algebras. This unifies a number of results in the literature on graph algebras, showing that pullbacks of Leavitt path algebras lift automatically to pullbacks of the corresponding graph $C^*$-algebras.

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Alexandru Chirvasitu

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