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Index theory for locally compact noncommutative geometries

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journal contribution
posted on 2024-11-15, 09:51 authored by Alan CareyAlan Carey, V Gayral, Adam RennieAdam Rennie, F Sukochev
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.

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Citation

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.

Journal title

Memoirs of the American Mathematical Society

Volume

231

Issue

1085

Pagination

1-142

Language

English

RIS ID

76334

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