Boundaries, Bundles and Trace Algebras

2015/10/30 by Griesenauer, Erin, Muhly, Paul S., Solel, Baruch
#46K50 #46L15 #46L89 #47L55 #47L75 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1510.09189

Abstract

We describe how noncommutative function algebras built from noncommutative functions in the sense of \citeK-VV2014 may be studied as subalgebras of homogeneous C^*-algebras.

Related

• Noncommutative function theory and unique extensions
• Uniformity in C^*-algebras
• Commutative algebras with nondegenerate invariant trace form and trace-free multiplication endomorphisms
• The K-theory of boundary C*-algebras of symmetric spaces
• Noncommutative Geometry Approach to Principal and Associated Bundles