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arXiv · 1808.10581

Thomsen-Li's Theorem Revisited

George A. Elliott·Zhiqiang Li·Xia Zhao
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Abstract

In this paper, we prove a general version of Thomsen-Li's Theorem--a Krein-Milman type theorem for C*-algebras. To be precise, for a Markov operator on $C[0,1]$ which preserves certain subspace of $C[0,1]$, we approximate it by an average of homomorphisms on $C[0,1]$ in the strong operator topology, additionally we require that this average also preserves the same subspace. Such results could be useful for constructing homomorphisms for subhomogeneous C*-algebras.

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George A. Elliott, Zhiqiang Li, Xia Zhao. 2018-08-31. Thomsen-Li's Theorem Revisited. https://arxiv.org/abs/1808.10581

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