Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 285-03. An irrational-trace counterexample to reduced Baum–Connes
Manuscript map · lines 8115–8124
OpenAI@2026-10-07#rem:oai-p-285-03
Authors: OpenAI. Family 285.
Title: An irrational-trace counterexample to reduced Baum–Connes.
Abstract: We construct a finitely generated discrete group whose reduced group C∗-algebra contains a projection of irrational canonical trace. Its K0-class lies outside the image of the coefficient-free reduced Baum–Connes assembly map. This disproves the coefficient-free reduced Baum–Connes conjecture for countable discrete groups.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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