Work

Isometries of Haagerup--Schultz algebras

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.27832

Authors: Huang, Jinghao, Kudaybergenov, Karimbergen, Sukochev, Fedor, Yan, Bing

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G2054192911, G2617445538, G548994494, G5920274920

OpenAlex ID: W7204837285

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