Density theorems for congruence groups in real rank $1$

1993 ◽  
Vol 71 (2) ◽  
pp. 463-473 ◽  
Author(s):  
Jonathan Huntley ◽  
Yonatan R. Katznelson
Keyword(s):  
Real Rank ◽  
Density Theorems

HEARTS DENSITY THEOREMS

1987 ◽  
Vol 13 (1) ◽  
pp. 28
Author(s):  
Aversa ◽  
Preiss
Keyword(s):  
Density Theorems

Density theorems and extremal hypergraph problems

2006 ◽  
Vol 152 (1) ◽  
pp. 371-380 ◽  
Author(s):  
V. Rödl ◽  
E. Tengan ◽  
M. Schacht ◽  
N. Tokushige
Keyword(s):  
Density Theorems ◽  
Extremal Hypergraph

scholarly journals Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras

2014 ◽  
Vol 14 (3) ◽  
pp. 570-613 ◽  
Author(s):  
Sara E. Arklint ◽  
Rasmus Bentmann ◽  
Takeshi Katsura
Keyword(s):  
Primitive Ideal ◽  
Ideal Space ◽  
Real Rank ◽  
Real Rank Zero ◽  
Rank Zero ◽  
K Theory

AbstractWe show that filtered K-theory is equivalent to a substantially smaller invariant for all real-rank-zero C*-algebras with certain primitive ideal spaces—including the infinitely many so-called accordion spaces for which filtered K-theory is known to be a complete invariant. As a consequence, we give a characterization of purely infinite Cuntz–Krieger algebras whose primitive ideal space is an accordion space.

scholarly journals Stable rank and real rank for some classes of group $C^\ast $-algebras

2005 ◽  
Vol 357 (6) ◽  
pp. 2165-2186 ◽  
Author(s):  
Robert J. Archbold ◽  
Eberhard Kaniuth
Keyword(s):  
Stable Rank ◽  
Real Rank

Linear Maps on C*-Algebras Preserving the Set of Operators that are Invertible in

2011 ◽  
Vol 54 (1) ◽  
pp. 141-146
Author(s):  
Sang Og Kim ◽  
Choonkil Park
Keyword(s):  
Real Rank ◽  
Real Rank Zero ◽  
Rank Zero ◽  
Calkin Algebra ◽  
C Algebras ◽  
Linear Maps

AbstractFor C*-algebras of real rank zero, we describe linear maps ϕ on that are surjective up to ideals , and π(A) is invertible in if and only if π(ϕ(A)) is invertible in , where A ∈ and π : → is the quotient map. We also consider similar linear maps preserving zero products on the Calkin algebra.

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