- Title
- A remark on Gel'fand duality for spectral triples
- Creator
- Bertozzini, Paolo; Conti, Roberto; Lewkeeratiyutkul, Wicharn
- Relation
- Bulletin of the Korean Mathematical Society Vol. 48, Issue 3, p. 505-521
- Publisher Link
- http://dx.doi.org/10.4134/BKMS.2011.48.3.505
- Publisher
- Korean Mathematical Society
- Resource Type
- journal article
- Date
- 2011
- Description
- We present a duality between the category of compact Riemannian spin manifolds (equipped with a given spin bundle and charge conjugation) with isometries as morphisms and a suitable "metric" category of spectral triples over commutative pre-C*-algebras. We also construct an embedding of a "quotient" of the category of spectral triples introduced in [5] into the latter metric category. Finally we discuss a further related duality in the case of orientation and spin-preserving maps between manifolds of fixed dimension.
- Subject
- spectral triple; spin manifold; category
- Identifier
- http://hdl.handle.net/1959.13/1061566
- Identifier
- uon:16978
- Identifier
- ISSN:1015-8634
- Language
- eng
- Reviewed
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