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

Published 27 Apr 2018 in math.KT and math.AP | (1804.10426v1)

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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