Reverie 发表于 2025-3-30 11:00:41
The Calkin Algebranuum Hypothesis is used to construct nondiagonalizable pure states on ., refuting a conjecture of Anderson and giving a negative answer to a problem of Kadison and Singer; this is a theorem of Akemann and Weaver. We offer additional proofs of this theorem from two weakenings of the Continuum Hypothe细颈瓶 发表于 2025-3-30 16:01:50
Degree-1 Saturationt every uniformly bounded representation of a countable amenable group into such C.-algebra is unitarizable (Section 15.4.1; this fails for uncountable groups, Section .), and that such C.-algebras admit a poor man’s version of Borel functional calculus that generalizes the Brown–Douglas–Fillmore “S修正案 发表于 2025-3-30 18:04:16
http://reply.papertrans.cn/24/2301/230017/230017_53.pngIRATE 发表于 2025-3-30 21:48:49
http://reply.papertrans.cn/24/2301/230017/230017_54.png