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Smale space C*-algebras have non-zero projections

The main result of the present paper is that the stable and unstable $C^*$-algebras associated to a mixing Smale space always contain nonzero projections. This gives a positive answer to a question of the first listed author and Karen Strung and has implications for the structure of these algebras in light of the Elliott program for simple $C^*$-algebras. Using our main result, we also show that t

Dixmier traces and residues on weak operator ideals

We develop the theory of modulated operators in general principal ideals of compact operators. For Laplacian modulated operators we establish Connes' trace formula in its local Euclidean model and a global version thereof. It expresses Dixmier traces in terms of the vector-valued Wodzicki residue. We demonstrate the applicability of our main results in the context of log-classical pseudo-different

Estimating Dixmier traces of Hankel operators in Lorentz ideals

In this paper we study Dixmier traces of powers of Hankel operators in Lorentz ideals. We extend results of Engliš-Zhang to the case of powers p ≥1 and general Lorentz ideals starting from abstract extrapolation results of Gayral-Sukochev. In the special case p =2, 4, 6 we give an exact formula for the Dixmier trace. For general p, we give upper and lower bounds on the Dixmier trace. We also const

När maskiner fattar beslut - vem är ansvarig?

Robots making decisions on social benefits, driverless cars causing traffic accidents, search engines presenting a selected narrow picture of the world – the rapid devel- opment of AI technology gives rise to machines that makes their own decisions, without direct influence from humans, but who is responsible for what a machine does? Can the machine itself be responsible? The aim of this article i

The use and reporting of neonatal pain scales : a systematic review of randomized trials

ABSTRACT: The burden of pain in newborn infants has been investigated in numerous studies, but little is known about the appropriateness of the use of pain scales according to the specific type of pain or infant condition. This systematic review aimed to evaluate the reporting of neonatal pain scales in randomized trials. A systematic search up to March 2019 was performed in Embase, PubMed, PsycIN