Abstract
We benefit from the treatment of the spin representation in the previous chapter to introduce the infinite-dimensional case as well. As it turns out, it provides a kind of abstract version of quantum field theory, which will surface in Part IV. The main result, a famous theorem by Shale and Stine- spring, is of foremost importance in physics. Furthermore, it points to the theory of Fredholm modules of Chapter 8, and thus deserves to be counted as a source of noncommutative geometry.
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© 2001 Springer Science+Business Media New York
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Gracia-Bondía, J.M., Várilly, J.C., Figueroa, H. (2001). The Spin Representation. In: Elements of Noncommutative Geometry. Birkhäuser Advanced Texts. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0005-5_6
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DOI: https://doi.org/10.1007/978-1-4612-0005-5_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6569-6
Online ISBN: 978-1-4612-0005-5
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