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Graph Algebras SeminarExport this event to calendar

Wednesday, May 27, 2015 — 1:30 PM EDT

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

K0 of a C*-algebra, continued”

For a C*-algebra A, we define an abelian group K0(A) by groupifying the monoid of Murray–von Neumann equivalence classes of projection matrices over A. We saw that K0(C) Z, and this time we will continue with more examples. Elliott’s Theorem essentially states that for two AF-algebras A, B, we have A B if and only if K0(A) K0(B), with the caveat that the isomorphism between K0 must preserve some additional structure. The aim is to outline what exactly that additional structure is.

MC 5417

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