Characterization of spectral triples: a combinatorial approach

Chakraborty, Partha Sarathi ; Pal, Arupkumar (2008) Characterization of spectral triples: a combinatorial approach Arxiv-eprints . pp. 1-18.

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Official URL: http://arxiv.org/pdf/math.OA/0305157.pdf

Abstract

We describe a general technique to study Dirac operators on noncommutative spaces under some additional assumptions. The main idea is to capture the compact resolvent condition in a combinatorial set up. Using this, we then prove that for a certain class of representations of the C-algebra C(SUq(l+1)), any Dirac operator that diagonalises with respect to the natural basis of the underlying Hilbert space must have trivial sign.

Item Type:Article
Source:Copyright of this article belongs to Arxiv Publications.
Keywords:Spectral Triples; Noncommutative Geometry; Quantum Group
ID Code:89580
Deposited On:28 Apr 2012 12:50
Last Modified:19 May 2016 04:05

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