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   Articles with "simple algebras" as a keyword



On classification of non-unital amenable simple C*-algebras, II

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recommendations! Published in 2020 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2020.103865

Abstract: We show that two separable stably projectionless simple C*-algebras A and B with $gTR(A) \le 1$ and $gTR(B) \le 1$ which satisfy the UCT are isomorphic if and only if they have the isomorphic Elliott… read more here.

Keywords: simple algebras; unital amenable; elliott invariant; amenable simple ... See more keywords

Metacommutation of primes in central simple algebras

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recommendations! Published in 2020 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2019.06.017

Abstract: Abstract In a quaternion order of class number one, an element can be factored in multiple ways depending on the order of the factorization of its reduced norm. The fact that multiplication is not commutative… read more here.

Keywords: simple algebras; number; primes central; central simple ... See more keywords

On the ideal structure of the tensor product of nearly simple algebras

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recommendations! Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2019.1710842

Abstract: Abstract We define a unital algebra A over a field to be nearly simple if A contains a unique non-trivial ideal IA such that If A and B are two nearly simple algebras over ,… read more here.

Keywords: simple algebras; nearly simple; structure tensor; tensor product ... See more keywords

Amenable Actions on Ill-Behaved Simple C*-Algebras

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recommendations! Published in 2024 at "International Mathematics Research Notices"

DOI: 10.1093/imrn/rnaf033

Abstract: By combining Rørdam’s construction and the author’s previous construction, we provide the first examples of amenable actions of non-amenable groups on simple separable nuclear C$^\ast $-algebras that are neither stably finite nor purely infinite. For… read more here.

Keywords: actions ill; behaved simple; simple algebras; amenable actions ... See more keywords

Remarks on some simple $C^*$-algebras admitting a unique lower semicontinuous 2-quasitrace

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recommendations! Published in 2021 at "Colloquium Mathematicum"

DOI: 10.4064/cm8171-3-2020

Abstract: Using different descriptions of the Cuntz semigroup and of the Pedersen ideal, it is shown that $\sigma$-unital simple $C^*$-algebras with almost unperforated Cuntz semigroup, a unique lower semicontinuous $2$-quasitrace and whose stabilization has almost stable… read more here.

Keywords: lower semicontinuous; unique lower; simple algebras; remarks simple ... See more keywords