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Title: On the index of noncommutative elliptic operators over C*-algebras

Journal Article · · Sbornik. Mathematics
;  [1]
  1. Peoples Friendship University of Russia, Moscow (Russian Federation)

We consider noncommutative elliptic operators over C*-algebras, associated with a discrete group of isometries of a manifold. The main result of the paper is a formula expressing the Chern characters of the index (Connes invariants) in topological terms. As a corollary to this formula a simple proof of higher index formulae for noncommutative elliptic operators is obtained. Bibliography: 36 titles.

OSTI ID:
21418058
Journal Information:
Sbornik. Mathematics, Vol. 201, Issue 3; Other Information: DOI: 10.1070/SM2010v201n03ABEH004077; ISSN 1064-5616
Country of Publication:
United States
Language:
English

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