A latticed total K-theory
Abstract
In this paper, a new invariant was built towards the classification of separable C*-algebras of real rank zero, which we call latticed total K-theory. A classification theorem is given in terms of such an invariant for a large class of separable C*-algebras of real rank zero arising from the extensions of finite and infinite C*-algebras. Many algebras with both finite and infinite projections can be classified.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.15941
- arXiv:
- arXiv:2408.15941
- Bibcode:
- 2024arXiv240815941A
- Keywords:
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- Mathematics - Operator Algebras
- E-Print:
- 31 pages