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\(C^*\) -Algebras
\(C^*\) -algebras are to Banach algebras what Hilbert spaces...
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Injectivity and Nuclearity Properties for Real C*-Algebras
In this paper, we study injective and nuclear real W * - and C * -algebras. The connection of these concepts with similar concepts of envelo** W * - and C
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\(C^*\) -Algebras and Completely Positive Maps
In the first two sections of this chapter, we briefly describe some basics of the Banach and the...
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Extended C*-Algebras and Extended W*-Algebras
In this chapter, we discuss GB*-algebras of closable operators in a Hilbert space. Thus, the reader has the chance to encounter the basics of...
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Maps on Positive Cones of C*-algebras
We prove that a surjective map (on the positive cones of unital C *-algebras) preserves the minimum spectrum values of harmonic means if and only if...
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The local bisection hypothesis for twisted groupoid C*-algebras
In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid G being effective. One of these conditions is that G ...
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C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics An Introduction
This textbook provides a comprehensive introduction to the mathematical foundations of quantum statistical physics. It presents a conceptually...
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A modified similarity degree for C*-algebras
We define variants of Pisier's similarity degree for unital C*-algebras and use direct integral theory to obtain new results. We prove that if every II
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Symmetries of C ∗-algebras and Jordan Morphisms
They are many faces of C ∗-algebras whose symmetries encode important aspects of their structures. We show that in surprisingly different situations...
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Distance Between Unitary Orbits of Self-Adjoint Elements in C*-Algebras of Tracial Rank One
The note studies certain distance between unitary orbits. A result about Riesz interpolation property is proved in the first place. Weyl (1912) shows...
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Opposite algebras of groupoid C*-algebras
We show that every groupoid C *-algebra is isomorphic to its opposite, and deduce that there exist C *-algebras that are not stably isomorphic to...
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Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids
This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff...
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C∗-algebras of Pseudodifferential Operators on Smooth Manifolds with Discontinuities in Symbols Along a Submanifold
This chapter deals with C∗-algebras generated by pseudodifferential operators (ΨDOs) of zero order in the space...
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On the classification of certain real rank zero C*-algebras
In this paper, we give a classification of real rank zero C*-algebras that can be expressed as inductive limits of a sequence of a subclass of...
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On a family of C*-subalgebras of Cuntz–Krieger algebras
In this paper, we study a family of C * -subalgebras defined by fixed points of generalized gauge actions of a Cuntz–Krieger algebra by introducing a...