Classification of irreversible and reversible Pimsner operator algebras
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- Toeplitz algebras Compositio revision
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Since their inception in the 1930s by von Neumann, operator algebras have been used to shed light on many mathematical theories. Classification results for self-adjoint and non-self-adjoint operator algebras manifest this approach, but a clear connection between the two has been sought sincetheir emergence in the late 1960s. We connect these seemingly separate types of results by uncovering a hierarchy of classification for non-self-adjoint operator algebras and -algebras with additional -algebraic structure. Our approach naturally applies to algebras arising from -correspondences to resolve self-adjoint and non-self-adjoint isomorphism problems in the literature. We apply our strategy to completely elucidate this newly found hierarchy for operator algebras arising from directed graphs.
Originalsprog | Engelsk |
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Tidsskrift | Compositio Mathematica |
Vol/bind | 156 |
Sider (fra-til) | 2510-2535 |
ISSN | 0010-437X |
DOI | |
Status | Udgivet - 2020 |
Links
- https://arxiv.org/pdf/1907.01366.pdf
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