Star Order and Partial Isometries in $$\boldsymbol{C}^{\mathbf{\ast}}$$-Algebras

2021 ◽  
Vol 42 (10) ◽  
pp. 2325-2332
Author(s):  
J. Hamhalter ◽  
E. Turilova
Keyword(s):  
Partial Isometries ◽  
Star Order

scholarly journals CUNTZ–PIMSNER C*-ALGEBRAS ASSOCIATED WITH SUBSHIFTS

2008 ◽  
Vol 19 (01) ◽  
pp. 47-70 ◽  
Author(s):  
TOKE MEIER CARLSEN
Keyword(s):  
Partial Isometries ◽  
C Algebra ◽  
C Algebras ◽  
Shift Space

By using C*-correspondences and Cuntz–Pimsner algebras, we associate to every subshift (also called a shift space) 𝖷 a C*-algebra [Formula: see text], which is a generalization of the Cuntz–Krieger algebras. We show that [Formula: see text] is the universal C*-algebra generated by partial isometries satisfying relations given by 𝖷. We also show that [Formula: see text] is a one-sided conjugacy invariant of 𝖷.

Partial isometries and an invariant of C*-algebras

2011 ◽  
Vol 27 (4) ◽  
pp. 799-806 ◽  
Author(s):  
Hong Liang Yao ◽  
Xiao Chun Fang
Keyword(s):  
Partial Isometries ◽  
C Algebras

On partial isometries in C*-algebras

2011 ◽  
Vol 205 (1) ◽  
pp. 71-82 ◽  
Author(s):  
M. Laura Arias ◽  
Mostafa Mbekhta
Keyword(s):  
Partial Isometries ◽  
C Algebras

scholarly journals Star order automorphisms on the poset of type 1 operators

2020 ◽  
Vol 491 (2) ◽  
pp. 124356
Author(s):  
Xinhui Wang ◽  
Guoxing Ji
Keyword(s):  
Star Order
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