Crossed product algebras and the homology of certain p-Adic and adélic dynamical systems

Eric Leichtnam, Victor Nistor

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Abstract

We identify the Hochschild, cyclic, and periodic cyclic homology groups of dynamical systems algebras arising from the action of ℚ* on the spaces of finite and infinite adéles of ℚ. In the process, we establish several results on the homology of the space of functions on a locally compact, totally disconnected space and its crossed products. Then we use these results to compute the homology groups of the Bost-Connes algebra.

Original languageEnglish (US)
Pages (from-to)1-23
Number of pages23
JournalK-Theory
Volume21
Issue number1
DOIs
Publication statusPublished - Sep 2000

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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