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

2025/03/05 by Torstein Ulsnaes, Ulsnaes, Torstein
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2503.03315

openalex publication_date 2025/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

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