Robinson forcing and the quasidiagonality problem-Reference-Cited by-同舟云学术

Robinson forcing and the quasidiagonality problem

Published:2017-02 Issue:02 Volume:28 Page:1750008
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Goldbring Isaac¹,Sinclair Thomas²

Affiliation:

1. Department of Mathematics, University of California, Irvine, 340 Rowland Hall (Bldg.# 400), Irvine, CA 92697-3875, USA

2. Mathematics Department, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067, USA

Abstract

We introduce weakenings of two of the more prominent open problems in the classification of C*-algebras, namely the quasidiagonality problem and the UCT problem. We show that a positive solution of the conjunction of the two weaker problems implies a positive solution of the original quasidiagonality problem as well as allows us to give a local, finitary criteria for the MF problem, which asks whether every stably finite C*-algebra is MF.

Funder

Division of Mathematical Sciences

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X17500082

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