Intereting Posts

How to construct this Laurent series?
Is ergodic markov chain both irreducible and aperiodic or just irreducible?
Why is $\cos(2x)=\cos^2(x)-\sin^2(x)$ and $\sin(2x)=2\sin(x)\cos(x)$?
Even order group, contains element of order 2
Is the ''right limit'' function always right continuous?
Ramanujan theta function and its continued fraction
Proving the 3-dimensional representation of S3 is reducible
Ordinals – motivation and rigor at the same time
Evaluate the line segment intergal
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
Prove convergence of series
Remark 3.1.3 from Introduction to Representation Theory from Pavel Etingof
Finding a diagonal in a trapezoid given the other diagonal and three sides
What are all different (non-isomorphic) field structures on $\mathbb R \times \mathbb R$
Symmetry of function defined by integral

I am taking a course on operator algebra this semester. My instructor has suggested a reference “Kadinson and Ringrose.” Are there any other good/standard references for this subject that I can look up?

- Is the function characterized by $f(\alpha x+(1-\alpha) y) \le f^{\alpha}(\alpha x)f^{1-\alpha}(y)$ convex?
- distribution theory $\ \ \text{order}(T) = \max(\text{order}(T')-1,0)\ $?
- Inequality regarding norms and weak-star convergence
- Is the weak topology sequential on some infinite-dimensional Banach space?
- Differentiation operator is closed?
- Can a proper vector subspace of a Banach space be a countable intersection of dense open subsets?
- Hahn-Banach to extend to the Lebesgue Measure
- When can one expect a classical solution of a PDE?
- Why a non-diagonalizable matrix can be approximated by an infinite sequence of diagonalizable matrices?
- A continuous mapping with the unbounded image of the unit ball in an infinite-dimensional Banach space

The book by Kadison and Ringrose does not contain a number modern topics (irrational rotation algebras, Cuntz algebras, K-theory etc.). I have used the following books for my lectures:

*G.Murphy “$C^*$-algebras and operator theory”*

and the

*K.Davidson “$C^*$-algebras by example.”*

A nice introduction to K-theory of $C^*$-algebras with prerequisites on $C^*$-algebras is

*N.E.Wegge-Olsen “K-theory and $C^*$-algebras. A friendly approach.”*

On the other hand I find the book by Kadison and Ringrose much easier to read.

The classical monograph by Dixmier can be used as encyclopedia of basic $C^*$-algebra theory.

- Characterization of non-unique decimal expansions
- Does there exist a complex function which is differentiable at one point and nowhere else continuous?
- Trouble with the derivation of the Reynolds Transport Theorem
- How to find angle x without calculator?
- Whitehead's axioms of projective geometry and a vector space over a field
- Prove that the equation $\tan (z)=z$ has only real roots.
- Integral $ \int_{-\infty}^\infty \frac{e^{ikx}}{x^{3/2}}dx$
- Homeomorphic or Homotopic
- Irreducible cyclotomic polynomial
- holomorphic functions and fixed points
- Intuitive/heuristic explanation of Polya's urn
- Intersection between two planes and a line?
- Why does drawing $\square$ mean the end of a proof?
- How many ways can you pick out 15 candies total to throw unordered into a bag and take home
- Is there no formula for $\cos(x^2)$?