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Theory of Operator Algebras II
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The article was published on 1979-01-01 and is currently open access. It has received 3776 citations till now. The article focuses on the topics: Nest algebra & Ladder operator.read more
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Semiclassical asymptotics on covering manifolds and morse inequalities
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Distinguishability measures and entropies for general probabilistic theories
TL;DR: The principle of equality for pure states which makes general probabilistic theories more realistic, and the role of entropies as a measure of pureness are discussed.
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On character amenability of Banach algebras
TL;DR: Kaniuth et al. as discussed by the authors studied the amenability of Banach algebras with respect to a character φ of a character and provided necessary and sufficient conditions of a global and a pointwise nature for a Banach algebra to possess a φ -mean of norm 1.
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KMS States, Entropy and the Variational Principle¶in Full C*-Dynamical Systems
TL;DR: The Perron-Frobenius type theorem states that the existence of KMS states at inverse temperatures equals the logarithm of the inner and outer spectral radii of the operator s.
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Covering dimension for nuclear C∗-algebras
TL;DR: In this paper, the authors introduce the completely positive rank, a notion of covering dimension for nuclear C∗-algebras, and analyze some of its properties with respect to direct sums, quotients, ideals and inductive limits.