scholarly journals On reduced amalgamated free products of C*-algebras and the MF property

2012 ◽  
Vol 61 (5) ◽  
pp. 1911-1923 ◽  
Author(s):  
Jonas Seebach
Keyword(s):  
Free Products ◽  
C Algebras ◽  
Amalgamated Free Products

On Unital Full Amalgamated Free Products of Quasidiagonal C*-Algebras

2016 ◽  
Vol 50 (1) ◽  
pp. 39-47
Author(s):  
Qihui Li ◽  
Don Hadwin ◽  
Jiankui Li ◽  
Xiujuan Ma ◽  
Junhao Shen
Keyword(s):  
Free Products ◽  
C Algebras ◽  
Amalgamated Free Products

scholarly journals A proof of Boca's Theorem

2018 ◽  
Vol 149 (04) ◽  
pp. 869-876 ◽  
Author(s):  
Kenneth R. Davidson ◽  
Evgenios T. A. Kakariadis
Keyword(s):  
Completely Positive Maps ◽  
Free Products ◽  
Completely Positive ◽  
C Algebras ◽  
Amalgamated Free Products ◽  
Positive Maps ◽  
Theoretic Proof ◽  
General Method

AbstractWe give a general method of extending unital completely positive maps to amalgamated free products of C*-algebras. As an application, we give a dilation theoretic proof of Boca's Theorem.

scholarly journals EXACTNESS OF CUNTZ–PIMSNER C*-ALGEBRAS

2001 ◽  
Vol 44 (2) ◽  
pp. 425-444 ◽  
Author(s):  
Kenneth J. Dykema ◽  
Dimitri Shlyakhtenko
Keyword(s):  
Topological Entropy ◽  
Subject Classification ◽  
Primary 46L08 ◽  
Free Products ◽  
C Algebra ◽  
C Algebras ◽  
Amalgamated Free Products ◽  
Finite Dimensional

AbstractLet $H$ be a full Hilbert bimodule over a $C^*$-algebra $A$. We show that the Cuntz–Pimsner algebra associated to $H$ is exact if and only if $A$ is exact. Using this result, we give alternative proofs for exactness of reduced amalgamated free products of exact $C^*$-algebras. In the case in which $A$ is a finite-dimensional $C^*$-algebra, we also show that the Brown–Voiculescu topological entropy of Bogljubov automorphisms of the Cuntz–Pimsner algebra associated to an $A,A$ Hilbert bimodule is zero.AMS 2000 Mathematics subject classification: Primary 46L08. Secondary 46L09; 46L54

scholarly journals ON THE GROWTH OF GROUPS AND AUTOMORPHISMS

2005 ◽  
Vol 15 (05n06) ◽  
pp. 869-874 ◽  
Author(s):  
MARTIN R. BRIDSON
Keyword(s):  
Finitely Generated ◽  
Free Products ◽  
Dehn Functions ◽  
Amalgamated Free Products ◽  
Growth Functions ◽  
Growth Of Groups

We consider the growth functions βΓ(n) of amalgamated free products Γ = A *C B, where A ≅ B are finitely generated, C is free abelian and |A/C| = |A/B| = 2. For every d ∈ ℕ there exist examples with βΓ(n) ≃ nd+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among Dehn functions.

Sign in / Sign up

Export Citation Format

Share Document