Titlebook: Crossed Products of C*-Algebras, Topological Dynamics, and Classification; Thierry Giordano,David Kerr,Andrew Toms,Francesc P Textbook 201

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eans that our algebra admits at least one normalized 2-quasitrace (which will be a trace if the algebra is exact). The material covered in this section can be found in Brown–Perera–Toms [4] and Brown–Toms [5].

nuclear-tests

P. Koundouri,M. Stithou,P. Melissourgosor a detailed treatment of this invariant. In the case of a unital .*-algebra, the invariant becomes ., where [1.] is the K.-class of the unit, and T(.) is the (compact convex) space of tracial states. We will concentrate on unital .*-algebras in the sequel in order to limit technicalities.

acrimony

P. Koundouri,M. Stithou,P. Melissourgos In this section we will introduce and discuss a conjectural version of such a principle, one that has significant evidence to support it. The conjecture relates three regularity properties for .*-algebras which we introduce presently.

拱形大橋

Novice Scientists and Expert Scientists results, such as stable rank one, real rank zero, order on traces determined by projections, strict comparison of positive elements, or .-stability. Some results with conclusions of this sort are stated in these notes, but mostly without proof.

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