Professor David Blecher

Welcome to Math 6395--Special topics in quantized analysis (24537)

UNDER CONSTRUCTION
Class MWF 10--11 in CBB 214. Office Hours - MW 11-12, or by appointment, in PGH 651e, email is  dpbleche@central.uh.edu
Recommended texts (not required): LIST IN PROGRESS Gerd Pedersen's "Analysis Now", J. B. Conway's "A course in Functional Analysis", TO BE ADDED They can be used for additional exercises, and for extra reading: for classnotes you will usually use the provided typed notes.
Upcoming due dates: KEEP WATCHING THIS SPOT SINCE THINGS WILL BE ADDED. Pace yourself, dont do things at the last moment.

See Homework link below. Homework 1a (Questions 3,4) is due (in the Chapter 1 folder on Blackboard) on February 14. Homework 1b (Questions 8,9, 10) is due (in the Chapter 1 folder on Blackboard) on February 21. Homework 1c (Questions 14, 16) ) is due (in the Chapter 1 folder on Blackboard) on February 28. Homework 2a (on containment of projections and De Morgans laws) is due (in the Chapter 2 folder on Blackboard) on Monday March 21. Homework 2b (questions 3,4,5) is due (in the Chapter 2 folder on Blackboard) on Friday April 8. Homework 2c (questions 9,10) is due (in the Chapter 2 folder on Blackboard) on wednesday April 13. Homework 2d is due (in the Chapter 2 folder on Blackboard) on Monday May 2: Questions 11 and 12 (11) Prove that the finite dimensional von Neumann algebras are $*$-isomorphic to finite direct sums of matrix algebras M_n; and 12) that there is a unique tracial state on M_n). Homework 2e is due (in the Chapter 2 folder on Blackboard) on May 14 at noon (Questions 13, 14, and reading Section 2.5).

There will be a class project at the end

Remember that the most important thing is to be doing your `main job'. You are expected to reread and digest the typed notes after class, line by line, trying to follow why the line is true, for example how it follows from previous lines. I suggest you add a check mark after you have read and understood the line, add extra explanation or pictures to yourself if needed. Add a question mark next to any line you cannot follow, and ask me about it. This is the way a mathematician reads a mathematics paper. Also memorize `definitions' as you read. The best advice I can give to ensure success in this class is to do this reading properly. The class will be somewhat unhelpful, and much much more difficult, if you do not do it. It takes a long time to do this reading. It is important to keep up to date. _________________________________________________________________________________________________________________

In the last weeks of class you will be given time to begin work on a project, which you will be able to choose from a list, or propose your own with permission (see link above). You may do a longer project as a group, with some doing different parts of the project. The project is worth 40 points. It should be turned in during `exam week' or a few days after that (date to be determined). You may be asked to do a short presentation of your project.