K-theory and index formulas for boundary groupoid C*-algebras

2018/04/27 by Bing Kwan So, So, Bing Kwan
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Analysis of PDEs (math.AP) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AP #math.KT

paper · pdf · doi:10.48550/arxiv.1804.10426

arxiv created 2018/04/27 · openalex publication_date 2018/04/27 · arxiv updated 2018/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute explicitly the K-groups of some boundary groupoid C*-algebras with exponential isotropy subgroups. Then we derive index formulas that computes the K-theoretic and Fredholm indexes of elliptic (respectively totally elliptic) pseudo-differential operators on these groupoids.

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