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PreprintarXiv licencearXiv

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 Lp-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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Cite

BibTeXRIS
BibTeX
@misc{huang2026isometries,
  title = {{Isometries of Haagerup--Schultz algebras}},
  author = {Jinghao Huang and Karimbergen Kudaybergenov and Fedor Sukochev and Bing Yan},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.27832},
  eprint = {2608.27832},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.27832},
}
RIS
TY  - UNPB
TI  - Isometries of Haagerup--Schultz algebras
AU  - Jinghao Huang
AU  - Karimbergen Kudaybergenov
AU  - Fedor Sukochev
AU  - Bing Yan
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.27832
UR  - https://arxiv.org/abs/2608.27832
AB  - 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.
ER  -