Cyclic cohomology and higher indices for noncompact complete manifolds
type: Item
instance of: scholarly article
title: Cyclic cohomology and higher indices for noncompact complete manifolds
zbMATH Open document ID: 0849.58066
published in: Journal of Functional Analysis
publication date: 1996-04-10T00:00:00Z
review text: The author computes the cyclic cohomology of (uniform) Roe algebras associated with noncompact manifolds and identifies it with (uniform) simplicial cohomology with infinite support of Rips' polyhedra associated with a net of the Riemannian manifold. The results have applications in the theory of generalized Dirac operators on noncompact complete Riemannian manifolds.
Mathematics Subject Classification ID: 58J22
Mathematics Subject Classification ID: 19D55
Mathematics Subject Classification ID: 46L80
zbMATH DE Number: 850617
zbMATH Keywords: \(K\)-theory
zbMATH Keywords: Roe algebras
zbMATH Keywords: Dirac operators
author: Guoliang Yu
reviewed by: Chandra Shekhar Sharma
MaRDI profile type: Publication
full work available at URL: jfan.1995.1133
OpenAlex ID: W1979734885
DOI: 10.1006/JFAN.1995.1133
description: scientific article; zbMATH DE number 850617