K-theory and index theory for some boundary groupoids

DOI10.1007/s00025-020-01300-6zbMath1453.58006OpenAlexW3094231802MaRDI QIDQ2210832

Bing Kwan So, Paulo Carrillo Rouse

Publication date: 8 November 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01300-6

zbMATH Keywords

pseudodifferential operatorsgroupoids$K$-theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) Pseudogroups and differentiable groupoids (58H05)

Related Items

A general Simonenko local principle and Fredholm condition for isotypical components ⋮ The extension of cochain complexes of meromorphic functions to multiplications ⋮ Zak transform for groupoids with abelian isotropy

Cites Work

• Unnamed Item
• Unnamed Item
• Pseudodifferential calculus on a singular foliation
• Geometric obstructions for Fredholm boundary conditions for manifolds with corners
• An index theorem for gauge-invariant families: the case of solvable groups
• Pseudodifferential analysis on continuous family groupoids
• Groupoids and the integration of Lie algebroids
• Holonomy groupoids of singular foliations.
• Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps
• On the geometry of Riemannian manifolds with a Lie structure at infinity
• Groupoids and pseudodifferential calculus on manifolds with corners
• On the full calculus of pseudo-differential operators on boundary groupoids with polynomial growth
• The Fredholm property for groupoids is a local property
• Pseudo-differential operators on manifolds with a Lie structure at infinity
• The index of elliptic operators. I
• The index of elliptic operators. III
• The index of elliptic operators. IV, V
• The analytic index of elliptic pseudodifferential operators on a singular foliation
• A Schwartz type algebra for the Tangent Groupoid
• Groupoids and an index theorem for conical pseudo-manifolds
• Fredholm Conditions on Non-compact Manifolds: Theory and Examples
• SPECTRAL INVARIANCE FOR CERTAIN ALGEBRAS OF PSEUDODIFFERENTIAL OPERATORS
• A topological index theorem for manifolds with corners