The C ∗ $$C^*$$ -Algebra of the Infinite Dihedral Group D ∞ $$D_{\infty }$$

Rongwei Yang
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Rongwei Yang: University at Albany, the State University of New York, Department of Mathematics & Statistics

Chapter Chapter 5 in A Spectral Theory Of Noncommuting Operators, 2024, pp 93-117 from Springer

Abstract: Abstract The infinite dihedral group D ∞ = 〈 a , t ∣ a 2 = t 2 = 1 〉 $$D_{\infty }=\langle a, t\mid a^2=t^2=1\rangle $$ is isomorphic to the free product ℤ 2 ∗ ℤ 2 $${\mathbb Z}_2\ast {\mathbb Z}_2$$ . As the simplest nonabelian infinite group, it plays an important role in group theory as well as in several other areas of mathematics.

Date: 2024
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DOI: 10.1007/978-3-031-51605-4_5

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