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

被引:0
|
作者
R. Melrose
V. Nistor
机构
[1] Richard Melrose,
[2] Department of Mathematics,undefined
[3] MIT,undefined
[4] Cambridge,undefined
[5] MA 02139-4307,undefined
[6] USA,undefined
[7] e-mail: rbm@math.mit.edu ,undefined
[8] Victor Nistor,undefined
[9] Department of Mathematics,undefined
[10] Pennsylvania State University,undefined
[11] University Park,undefined
[12] PA 16802,undefined
[13] USA,undefined
[14] e-mail: nistor@math.psu.edu ,undefined
来源
Geometric & Functional Analysis GAFA | 1998年 / 8卷
关键词
Pseudodifferential Operator; Index Theorem; Equivariant Index; Equivariant Index Theorem;
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摘要
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 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $ \Bbb {R}^k $\end{document}. We briefly discuss the relation between our results and the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $ \eta $\end{document}-invariant.
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页码:88 / 122
页数:34
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