Central Sequences in C*-Algebras and Strongly Purely Infinite Algebras

By Eberhard Kirchberg. 2006

159 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7c337abd6a657bccae72a3aa4b7b3a1f7dd5ce17

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. G'abor Szab'o
2. W. Winter
3. Yasuhiko Sato
4. Stuart White
5. Ilan Hirshberg
6. Aaron Tikuisis
7. J. Zacharias
8. M. Rørdam

In Mathematical Physics

1. G'abor Szab'o
2. W. Winter
3. Yasuhiko Sato
4. Aaron Tikuisis
5. Stuart White
6. J. Zacharias
7. David Kerr
8. Ilan Hirshberg

Citations in the corpus

• Rokhlin dimension for actions of residually finite groups (2014, methodology): “First, we will recall the definition of a (corrected) relative central sequence algebra in the non-unital case, based on Kirchberg’s pioneering work [36] on central sequences of C-algebras.”
• Localizing the Elliott conjecture at strongly self-absorbing C*-algebras (2007, unknown): “…tensor products with generalized dimension drop intervals and show how such an isomorphism may be used to obtain an asymptotic unitary intertwining between tensor products with Z. 4.1 Notation: For 0 m ≤ n ∈ N and unital C∗-algebrasA1, . . . , Am, B1, . . . , Bn let i1, . . . , im ∈ {1, .…”
• Rokhlin Dimension and C*-Dynamics (2012, background): “We also wish to point out that finite Rokhlin dimension can be interpreted as a dynamic version of Kirchberg’s covering number, introduced in [12] (also cf.”
• Equivariant Kirchberg–Phillips-Type Absorption for Amenable Group Actions (2016, background): “In addition to the relative commutant, it can often be more useful to consider a generalized relative commutant, which is analogous to how Kirchberg has defined a corrected version of the central sequence algebra in [37].”
• Rokhlin actions and self-absorbing C*-algebras (2005, background): “canonical map U(D)/U0(D)→ K1(D) is injective, a condition which is automatically fulfilled for the known examples mentioned above), then the property of being (separable and) strongly self-absorbing is closed under passing to hereditary subalgebras, quotients, inductive limits and extensions (for D ”
• Covering Dimension of C*-Algebras and 2-Coloured Classification (2015, methodology): “” In this paper we primarily work with Kirchberg’s formulation from [45], which is the most suitable for our purposes.”
• Nuclear dimension and $$\mathcal Z$$Z-stability (2014, methodology): “We use Kirchberg’s notion of a σ -ideal from [18], working with the formulation of [20, Definition 4.”