K-theory and index formulas for boundary groupoid C*-algebras
classification
🧮 math.KT
math.AP
keywords
algebrasboundaryellipticformulasgroupoidindexcomputecomputes
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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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