Index theory for locally compact noncommutative geometries

Authors

Alan Carey, Australian National University
V Gayral, Universite de Reims Champagne-Ardenne
Adam Rennie, University of Wollongong
F Sukochev, University of New South Wales

RIS ID

76334

Publication Details

Carey, A. L., Gayral, V., Rennie, A. C. & Sukochev, F. A. (2014). Index theory for locally compact noncommutative geometries. Memoirs of the American Mathematical Society, 231 (1085), 1-131.

Abstract

Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, we prove the local index formula for spectral triples over nonunital algebras, without the assumption of local units in our algebra.