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4 papers · 1 filter
Inductive limits of K-theoretic complexes with torsion coefficients
Soren Eilers, Andrew S. Toms
We present the first range result for the total K-theory of C*-algebras. This invariant has been used successfully to classify certain separable, nuclear C*-algebras of real rank z…
Trace functions as Laplace transforms
Frank Hansen
We study trace functions on the form $ t\to\tr f(A+tB) $ where is a real function defined on the positive half-line, and and are matrices such that is posit…
Spectral triples for AF C*-algebras and metrics on the Cantor set
Cristina Antonescu, Erik Christensen
An AF C*-algebra has a natural filtration as an increasing sequence of finite dimensional C*-algebras. We show that it is possible to construct a Dirac operator which relates to th…
Jensen's trace inequality in several variables
Frank Hansen, Gert K. Pedersen
Jensen's trace inequality is established for every multivariable, convex function and every trace or trace-like functional on a C*-algebra.