scholarly journals Projections in free product C $^*$ -algebras, II

2000 ◽  
Vol 234 (1) ◽  
pp. 103-113 ◽  
Author(s):  
Kenneth J. Dykema ◽  
Mikael Rørdam
Keyword(s):  
Free Product ◽  
C Algebras

scholarly journals C*-algebras associated with amalgamated products of groups

1987 ◽  
Vol 29 (2) ◽  
pp. 143-148
Author(s):  
Bola O. Balogun
Keyword(s):  
Free Product ◽  
Discrete Groups ◽  
Verbal Subgroup ◽  
C Algebras ◽  
Products Of Groups ◽  
Amalgamated Products

Let V denote the class of discrete groups G which satisfy the following conditions (a), (b) and (c):(a) G = (A * B; K = φ(H)) is the free product of two groups A and B with the subgroup H amalgamated.(b) H does not contain the verbal subgroup A(X2) of A and K does not contain the verbal subgroup B(X2)of B.

scholarly journals ON THE STRUCTURE OF SOME REDUCED AMALGAMATED FREE PRODUCT C*-ALGEBRAS

2011 ◽  
Vol 22 (02) ◽  
pp. 281-306 ◽  
Author(s):  
NIKOLAY A. IVANOV
Keyword(s):  
Free Product ◽  
Sufficient Conditions ◽  
Positive Cone ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Free Products ◽  
C Algebras ◽  
Amalgamated Free Product ◽  
Necessary And Sufficient

We study some reduced free products of C*-algebras with amalgamations. We give sufficient conditions for the positive cone of the K0 group to be the largest possible. We also give sufficient conditions for simplicity and uniqueness of trace. We use the latter result to give a necessary and sufficient condition for simplicity and uniqueness of trace of the reduced C*-algebras of the Baumslag–Solitar groups BS(m, n).

scholarly journals Quantum symmetric states on free product $C^*$-algebras

2016 ◽  
Vol 369 (1) ◽  
pp. 645-679 ◽  
Author(s):  
Kenneth J. Dykema ◽  
Claus Köstler ◽  
John D. Williams
Keyword(s):  
Free Product ◽  
C Algebras ◽  
Symmetric States

On the Ordered K0‐Group of Universal, Free Product C*‐Algebras

K-Theory ◽  
1998 ◽  
Vol 15 (4) ◽  
pp. 307-322 ◽  
Author(s):  
Mikael Rø ◽  
Jesper Villadsen
Keyword(s):  
Free Product ◽  
C Algebras

scholarly journals Purely Infinite, Simple $C^*$-Algebras Arising from Free Product Constructions, II

2002 ◽  
Vol 90 (1) ◽  
pp. 73 ◽  
Author(s):  
Kenneth J. Dykema
Keyword(s):  
Free Product ◽  
Free Products ◽  
C Algebras

Certain reduced free products of $C^*$-algebras with respect to faithful states are simple and purely infinite.

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