The local index formula in semifinite von Neumann algebras II: The even case

被引：42
|
作者：
Carey, Alan L.
Phillips, John
Rennie, Adam
Sukochev, Fyodor A.
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
[2] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia
[3] Univ Newcastle, Sch Math & Phys Sci, Callaghan, NSW 2308, Australia
[4] Flinders Univ S Australia, Sch Informat & Engn, Bedford Pk, SA 5042, Australia
来源：
ADVANCES IN MATHEMATICS | 2006年 / 202卷 / 02期
基金：
澳大利亚研究理事会; 加拿大自然科学与工程研究理事会;
关键词：
von Neumann algebra; Fredholm module; cyclic cohomology; Chern character; McKean-Singer formula;
D O I：
10.1016/j.aim.2005.03.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We generalise the even local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra A of a general semifinite von Neumann algebra. The proof is a variant of that for the odd case which appears in Part I. To allow for algebras with a non-trivial centre we have to establish a theory of unbounded Fredholm operators in a general semifinite von Neumann algebra and in particular prove a generalised McKean-Singer formula. (c) 2005 Elsevier Inc. All rights reserved.
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页码：517 / 554
页数：38
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