Thomsen-Li's Theorem Revisited
Operator Algebras
2018-09-17 v2
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 which preserves certain subspace of , we approximate it by an average of homomorphisms on 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.
Cite
@article{arxiv.1808.10581,
title = {Thomsen-Li's Theorem Revisited},
author = {George A. Elliott and Zhiqiang Li and Xia Zhao},
journal= {arXiv preprint arXiv:1808.10581},
year = {2018}
}
Comments
32 pages, misprints and typos are corrected, and proofs are improved. Acknowledgements are added