2004/08/31 by Stefan Teodor Bildea, Bildea, Stefan Teodor
Mathematics · #08B25 #46L09 #46L54 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #math.GR #math.OA #msc:08B25 #msc:46L09 #msc:46L54
paper · pdf · doi:10.48550/arxiv.math/0408434
18 pages, revised version : corrected typos and added two references
arxiv created 2004/10/11 · arxiv updated 2009/12/01
We construct a generalized version for the free product of unital C*-algebras over a family of unital C*-subalgebras, starting from the group-analogue. When all the subalgebras are the same, we recover the free product with amalgamation over a common subalgebra. We reduce the problem to the study of minimal amalgams. We specialize to triangles of algebras and subalgebras, study freeness in this context, and give some examples of constructions of minimal amalgams derived from triangles of operator algebras.