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The K-theory of boundary C*-algebras of symmetric spaces

Published 5 Mar 2025 in math.OA | (2503.03315v1)

Abstract: We compute the K-theory of a collection of C*-algebras, which we refer to as boundary C*-algebras, arising as the crossed product C*-algebras of lattice actions on the maximal Furstenberg boundaries of symmetric spaces of noncompact type. As a result, we add new examples to the collection of known isomorphic boundary C*-algebras which are not spatially isomorphic.

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