K-theory of C*-algebras of b-pseudodifferential operators

Richard Melrose; Victor Nistor

doi:10.1007/s000390050049

K-theory of C*-algebras of b-pseudodifferential operators

Richard Melrose, Victor Nistor

Mathematics

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

We compute K-theory invariants of algebras of pseudodifferential operators on manifolds with corners and prove an equivariant index theorem for operators invariant with respect to an action of ℝ^k. We briefly discuss the relation between our results and the η-invariant.

Original language	English (US)
Pages (from-to)	88-122
Number of pages	35
Journal	Geometric and Functional Analysis
Volume	8
Issue number	1
DOIs	https://doi.org/10.1007/s000390050049
State	Published - 1998

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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10.1007/s000390050049

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title = "K-theory of C*-algebras of b-pseudodifferential operators",

abstract = "We compute K-theory invariants of algebras of pseudodifferential operators on manifolds with corners and prove an equivariant index theorem for operators invariant with respect to an action of ℝk. We briefly discuss the relation between our results and the η-invariant.",

author = "Richard Melrose and Victor Nistor",

note = "Funding Information: The rst author is partially supported by NSF grant DMS-9306389. The second author is partially supported by NSF Young Investigator Award DMS-9457859 and a Sloan research fellowship.",

year = "1998",

doi = "10.1007/s000390050049",

language = "English (US)",

volume = "8",

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publisher = "Birkhauser Verlag Basel",

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T1 - K-theory of C*-algebras of b-pseudodifferential operators

AU - Melrose, Richard

AU - Nistor, Victor

N1 - Funding Information: The rst author is partially supported by NSF grant DMS-9306389. The second author is partially supported by NSF Young Investigator Award DMS-9457859 and a Sloan research fellowship.

PY - 1998

Y1 - 1998

N2 - We compute K-theory invariants of algebras of pseudodifferential operators on manifolds with corners and prove an equivariant index theorem for operators invariant with respect to an action of ℝk. We briefly discuss the relation between our results and the η-invariant.

AB - We compute K-theory invariants of algebras of pseudodifferential operators on manifolds with corners and prove an equivariant index theorem for operators invariant with respect to an action of ℝk. We briefly discuss the relation between our results and the η-invariant.

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U2 - 10.1007/s000390050049

DO - 10.1007/s000390050049

M3 - Article

AN - SCOPUS:0032221696

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JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 1

ER -

K-theory of C*-algebras of b-pseudodifferential operators

Abstract

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