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Modular spectral triples and KMS states in noncommutative geometry

Senior, Roger John


This thesis investigates the role of dimension in the noncommutative geometry of quantum groups and their homogeneous spaces. We define a generalisation of semifinite spectral triples called modular spectral triples, which replaces the trace with a weight. We prove a resolvent index formula, which computes the index pairing between modular spectral triples and equivariant K-theory. We demonstrate that a modular spectral triple for the Podles sphere has spectral and homological dimension 2....[Show more]

CollectionsOpen Access Theses
Date published: 2011
Type: Thesis (PhD)
DOI: 10.25911/5d611b35c7897
Access Rights: Open Access


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