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Iain Forsyth, Bram Mesland, and Adam Rennie
Dense domains, symmetric operators and spectral triples view print
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| Published: |
November 4, 2014
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| Keywords: |
Symmetric operator, spectral triple |
| Subject: |
47B25, 58B34 |
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Abstract
This article is about erroneous attempts to weaken the standard definition of
unbounded Kasparov module (or spectral triple). This issue has been addressed previously,
but here we present concrete counterexamples
to claims in the literature that Fredholm modules can be obtained from
these weaker variations of spectral triple. Our counterexamples are constructed using
self-adjoint extensions of symmetric operators.
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| Acknowledgements
The first and third authors were supported by the Australian Research Council, while the second author was supported by the EPSRC grant EP/J006580/2.
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| Author information
Iain Forsyth:
Mathematical Sciences Institute, Australian National University, Canberra, Australia
iain.forsyth@anu.edu.au
Bram Mesland:
Mathematics Institute, Zeeman Building, University of Warwick,Coventry CV4 7AL, UK
b.mesland@warwick.ac.uk
Adam Rennie:
School of Mathematics and Applied Statistics, University of Wollongong Wollongong, Australia
renniea@uow.edu.au
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