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Lecture Notes on C-algebras - UVic.ca
www.math.uvic.caChapter 1 Basics of C-algebras 1.1 De nition We begin with the de nition of a C-algebra. De nition 1.1.1. A C-algebra Ais a (non-empty) set with the following
208 C*-algebras
math.berkeley.eduWe will be using quantum tori as examples throughout the course. These are in some sense the simplest nontrivial example of noncommutative di erentiable manifolds. 2.1 Spectra Let Abe a unital C*-algebra. De nition The spectrum ˙(a) of an element a2Ais the …