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New York Journal of Mathematics
Volume 24a (2018), 136-154

  

Erin Griesenauer, Paul S. Muhly, and Baruch Solel

Boundaries, bundles, and trace algebras

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Published: November 7, 2018.
Keywords: non-self-adjoint operator algebras; matrix bundles, non-commutative function algebras.
Subject: 47L55, 47L75, 47L99, 46H35.

Abstract
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 C*-algebras.

Acknowledgements

PM and BS were partially supported by a grant from the BSF.


Author information

Erin Griesenauer:
Department of Mathematics, Physics, and Computer Science
Eckerd College
St. Petersburg, Fl 33711, USA

grieseel@eckerd.edu

Paul S. Muhly:
Department of Mathematics
University of Iowa
Iowa City, IA 52242, USA

paul-muhly@uiowa.edu

Baruch Solel:
Department of Mathematics
Technion, 32000 Haifa, Israel

mabaruch@techunix.technion.ac.il