[PDF][PDF] On quotient algebras in generic extensions
Y Kanai - Commentarii Mathematici Universitatis Sancti Pauli, 1984 - rikkyo.repo.nii.ac.jp
Recently, Kakuda ([6]) has shown that precipitousness can be preserved under certain
forcing extensions. Before then, he had also shown that saturation of ideals can be …
forcing extensions. Before then, he had also shown that saturation of ideals can be …
K-theory for commutants in the Calkin algebra
W Paschke - Pacific Journal of Mathematics, 1981 - msp.org
Let A be a separable unital C∗-algebra, and let B c be the commutant in the Calkin algebra
of the image B of A under a trivial extension. We show that K 0 (B c) is isomorphic to the …
of the image B of A under a trivial extension. We show that K 0 (B c) is isomorphic to the …
Derivations on smooth Hensel-Steinitz algebras
SD Hebert - 2024 - scholarsjunction.msstate.edu
I define and analyze the Hensel-Steinitz algebra ( ), a crossed product C∗-algebra
associated with multiplication maps on continuous functions on the ring of -adic integers …
associated with multiplication maps on continuous functions on the ring of -adic integers …
[PDF][PDF] On the Constants C (Ω) and Cs (Ω) of a C*-algebra and Norms of Derivations
We investigate the relationship between inner derivations implemented by a norm-attainable
element of a C*-algebra to those of ideals and primitive ideals. Moreover, we give related …
element of a C*-algebra to those of ideals and primitive ideals. Moreover, we give related …
Derivations of 2-subhomogeneous C*-algebras
DWB Somerset - Proceedings of the Edinburgh Mathematical …, 2000 - cambridge.org
A characterization is given of those unital, 2-subhomogeneous, Fell C*-algebras which have
only inner derivations. This proves Sproston and Strauss's conjecture from 1992. Various …
only inner derivations. This proves Sproston and Strauss's conjecture from 1992. Various …
Lifting automorphisms
H Lin - K-theory, 1999 - access.portico.org
Lifting Automorphisms Page 1 K-Theory 16: 105–127, 1999. c 1999 Kluwer Academic Publishers.
Printed in the Netherlands. 105 Lifting Automorphisms ⋆ HUAXIN LIN Department of …
Printed in the Netherlands. 105 Lifting Automorphisms ⋆ HUAXIN LIN Department of …
Functors induced by Cauchy extension of C*-algebras
K Nourouzi, A Reza - arXiv preprint arXiv:1701.01338, 2017 - arxiv.org
In this paper we give three functors $\mathfrak {P} $, $[\cdot] _K $ and $\mathfrak {F} $ on the
category of C $^\ast $-algebras. The functor $\mathfrak {P} $ assigns to each C $^\ast …
category of C $^\ast $-algebras. The functor $\mathfrak {P} $ assigns to each C $^\ast …
Extensions By C*‐Algebras of Real Rank Zero, II
H Lin - Proceedings of the London Mathematical Society, 1995 - Wiley Online Library
Let Ext (C (X), A) be the set of unitary equivalence classes of (unital) essential C*‐algebra
extensions of the following form: 0→ A→ E→ C (X)→ 0, where A is a simple AF‐algebra with …
extensions of the following form: 0→ A→ E→ C (X)→ 0, where A is a simple AF‐algebra with …
Derivations of subhomogeneous 𝐶*-algebras are implemented by local multipliers
I Gogić - Proceedings of the American Mathematical Society, 2013 - ams.org
Let $ A $ be a subhomogeneous $ C^* $-algebra. Then $ A $ contains an essential closed
ideal $ J $ with the property that for every derivation $\delta $ of $ A $ there exists a …
ideal $ J $ with the property that for every derivation $\delta $ of $ A $ there exists a …
Variations of projectivity for C∗-algebras
D Hadwin, T Shulman - Pacific Journal of Mathematics, 2019 - msp.org
We consider various lifting problems for C∗-algebras. As an application of our results we
show that any commuting family of order zero maps from matrices to a von Neumann central …
show that any commuting family of order zero maps from matrices to a von Neumann central …