Brodzki, Jacek and Niblo, Graham and Plymen, Roger and Wright, Nick (2013) The Dirac operator and the limitofdiscreteseries for the universal cover of SL_2(R). [MIMS Preprint]
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Abstract
The principal series of the universal cover of $SL_2(R)$ admits a limitofdiscreteseries. Starting with this representation, we construct certain spinor fields on which the Dirac operator $D$ is a multiplication operator. This creates an unbounded Kasparov triple which generates $K_1$ of the reduced C*algebra.
Item Type:  MIMS Preprint 

Uncontrolled Keywords:  Universal cover, Dirac operator, Ktheory 
Subjects:  MSC 2010, the AMS's Mathematics Subject Classification > 19 Ktheory MSC 2010, the AMS's Mathematics Subject Classification > 46 Functional analysis 
Depositing User:  Professor Roger Plymen 
Date Deposited:  13 Mar 2014 
Last Modified:  08 Nov 2017 18:18 
URI:  https://eprints.maths.manchester.ac.uk/id/eprint/2113 
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Ktheory and limitofdiscreteseries for the universal cover of SL_2(R). (deposited 13 Dec 2013)
 The Dirac operator and the limitofdiscreteseries for the universal cover of SL_2(R). (deposited 13 Mar 2014) [Currently Displayed]
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