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representation of a Cc(G) *- topological algebra∗ bci1† 2013-03-22 1:27:49 Definition 0.1. A representation of a Cc (G) topological ∗–algebra is defined as a continuous ∗–morphism from Cc (G) to B(H), where G is a topological groupoid, (usually a locally compact groupoid, Glc ), H is a Hilbert space, and B(H) is the C ∗ -algebra of bounded linear operators on the Hilbert space H; of course, one considers the inductive limit (strong) topology to be defined on Cc (G), and then also an operator weak topology to be defined on B(H). ∗ hRepresentationOfACcmathsfGTopologicalAlgebrai created: h2013-03-2i by: hbci1i version: h40878i Privacy setting: h1i hDefinitioni h81-00i h18D05i h55N33i h55N20i h55P10i h55U40i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1
