Tensor Products of Free-Group C* -Algebras

1990 ◽  
Vol 22 (4) ◽  
pp. 375-380 ◽  
Author(s):  
Simon Wassermann
Keyword(s):  
Free Group ◽  
Tensor Products ◽  
C Algebras

scholarly journals P-Tensor Product for Group C*-Algebras

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 627
Author(s):  
Yufang Li ◽  
Zhe Dong
Keyword(s):  
Tensor Product ◽  
Free Group ◽  
Discrete Group ◽  
Tensor Products ◽  
Haagerup Property ◽  
C Algebras ◽  
P Tensor

In this paper, we introduce new tensor products ⊗ p ( 1 ≤ p ≤ + ∞ ) on C ℓ p * ( Γ ) ⊗ C ℓ p * ( Γ ) and ⊗ c 0 on C c 0 * ( Γ ) ⊗ C c 0 * ( Γ ) for any discrete group Γ . We obtain that for 1 ≤ p < + ∞ C ℓ p * ( Γ ) ⊗ m a x C ℓ p * ( Γ ) = C ℓ p * ( Γ ) ⊗ p C ℓ p * ( Γ ) if and only if Γ is amenable; C c 0 * ( Γ ) ⊗ m a x C c 0 * ( Γ ) = C c 0 * ( Γ ) ⊗ c 0 C c 0 * ( Γ ) if and only if Γ has Haagerup property. In particular, for the free group with two generators F 2 we show that C ℓ p * ( F 2 ) ⊗ p C ℓ p * ( F 2 ) ≇ C ℓ q * ( F 2 ) ⊗ q C ℓ q * ( F 2 ) for 2 ≤ q < p ≤ + ∞ .

Operational independence and tensor products of C*-algebras

2017 ◽  
Vol 58 (3) ◽  
pp. 032303
Author(s):  
Jan Hamhalter ◽  
Shuilin Jin
Keyword(s):  
Tensor Products ◽  
C Algebras

A Commutation Result for Tensor Products of C * -Algebras

1973 ◽  
Vol 5 (3) ◽  
pp. 283-287 ◽  
Author(s):  
Richard Haydon ◽  
Simon Wassermann
Keyword(s):  
Tensor Products ◽  
C Algebras
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