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arXiv · 1502.04290

$K$-theory for the crossed products of infinite tensor product of $C^*$-algebras by the shift

Issei Ohhashi
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Abstract

C. Schochet shows K\"unneth theorem for the $C^*$-algebras in the smallest class of nuclear $C^*$-algebras which contains the separable Type I algebras and is closed under some operations. We calculate the $K$-theory for the crossed product of the infinite tensor product of a unital $C^*$-algebra in this class by the shift. In particular, we calculate the $K$-theory of the lamplighter group $C^*$-algebra.

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Issei Ohhashi. 2015-02-15. $K$-theory for the crossed products of infinite tensor product of $C^*$-algebras by the shift. https://arxiv.org/abs/1502.04290

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