Boundaries, bundles, and trace algebras. (English) Zbl 06982041
Summary: We describe how noncommutative function algebras built from noncommutative functions in the sense of Dmitry S. Kaliuzhnyi-Verbovetskyi and Victor Vinnikov may be studied as subalgebras of homogeneous \(\mathrm{C}^\ast\)-algebras.
MSC:
| 47L55 | Representations of (nonselfadjoint) operator algebras |
| 47L75 | Other nonselfadjoint operator algebras |
| 47L99 | Linear spaces and algebras of operators |
| 46H35 | Topological algebras of operators |
