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arXiv · 2608.27832

Isometries of Haagerup--Schultz algebras

Jinghao Huang·Karimbergen Kudaybergenov·Fedor Sukochev·Bing Yan
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Abstract

We establish a version of the classical results concerning descriptions of isometries on $C^*$-algebras and noncommutative $L_p$-spaces due to Kadison (1951) and Yeadon (1981) in the setting of Haagerup--Schultz algebras. Precisely, we show that (not necessarily surjective) isometries on such algebras are necessarily implemented by partial isometries and trace-preserving Jordan $^*$-monomorphisms.

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Jinghao Huang, Karimbergen Kudaybergenov, Fedor Sukochev, Bing Yan. 2026-08-28. Isometries of Haagerup--Schultz algebras. https://arxiv.org/abs/2608.27832

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