The cyclic homology and K-theory of certain adelic crossed products

Details The cyclic homology and K-theory of certain adelic crossed products The cyclic homology and K-theory of certain adelic crossed products

2003-12-16

arxiv.org/abs/math/0312305v1

Mathematics

K-Theory and Homology

Scientific paper

The multiplicative group of a global field acts on its adele ring by
multiplication. We consider the crossed product algebra of the resulting action
on the space of Schwartz functions on the adele ring and compute its
Hochschild, cyclic and periodic cyclic homology. We also compute the
topological K-theory of the C*-algebra crossed product.

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