A finite trace is a specific type of functional defined on a von Neumann algebra that assigns a non-negative real number to each positive element, with the property that the trace of the identity element is finite. This concept is crucial for understanding various aspects of operator algebras, particularly in relation to weights and traces, as it ensures that the trace behaves well under limits and satisfies certain continuity properties.
congrats on reading the definition of finite trace. now let's actually learn it.