Abstract
We give new proofs of many injectivity results in analysis that make more careful use of the duality between abelian C*-algebras and topological spaces. We then extend many of these ideas to incorporate the case of a group action. This approach gives new insight into Hamana’s theory of G-injective operator spaces and G-injective envelopes. Our new proofs of these classic results, use only topological methods and eliminate the need for results from the theory of Boolean algebras and AW*-algebras.
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Dedicated to Professor Richard V. Kadison on the occasion of his 85th birthday
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Hadwin, D., Paulsen, V.I. Injectivity and projectivity in analysis and topology. Sci. China Math. 54, 2347–2359 (2011). https://doi.org/10.1007/s11425-011-4285-7
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DOI: https://doi.org/10.1007/s11425-011-4285-7