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This book consists of invited survey articles and research papers in the scientific areas of the International Workshop on Operator Algebras, Operator Theory and Applications which was held in Lisbon in July 2016. It reflects recent developments in the areas of algebras of operators, operator theory and matrix theory. In particular, it focuses on the following topics: Groupoid algebras and Fredholm conditions, algebras of approximation sequences, C algebras of convolution type operators, index theorems; Spectrum and numerical range of operators; Extreme supercharacters of infinite groups, quantum dynamics and operator algebras, inverse eigenvalue problems. The book is aimed at researchers from Operator Algebras, Operator Theory, and Matrix Theory areas, as well as members of the scientific community and graduate students which use results from these areas. It has the distinctive purpose of establishing bridges between the three related areas of Operator Theory, Operator Algebras, and Matrix Theory.
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