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.

引用

页码：517 / 554

页数：38

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