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Classification of irreversible and reversible Pimsner operator algebras
| Content Provider | Scilit |
|---|---|
| Author | Dor-On, Adam Eilers, Søren Geffen, Shirly |
| Copyright Year | 2020 |
| Description | Journal: Compositio Mathematica 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 since their 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 $C^{*}$ -algebras with additional $C^{*}$ -algebraic structure. Our approach naturally applies to algebras arising from $C^{*}$ -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. |
| Ending Page | 2535 |
| Starting Page | 2510 |
| ISSN | 00221295 |
| e-ISSN | 15705846 |
| DOI | 10.1112/s0010437x2000754x |
| Journal | Compositio Mathematica |
| Issue Number | 12 |
| Volume Number | 156 |
| Language | English |
| Publisher | Wiley-Blackwell |
| Publisher Date | 2020-12-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Compositio Mathematica Mathematical Physics Adjoint Operator Algebras |
| Content Type | Text |
| Resource Type | Article |
| Subject | Algebra and Number Theory |
