Locally AH-Algebras (eBook)

Huaxin Lin (Autor)

eBook Download: PDF

2015
109 Seiten
American Mathematical Society (Verlag)
978-1-4704-2225-7 (ISBN)

Infos

A unital separable $C^/ast$-algebra, $A$ is said to be locally AH with no dimension growth if there is an integer $d>0$ satisfying the following: for any $/epsilon >0$ and any compact subset ${/mathcal F}/subset A,$ there is a unital $C^/ast$-subalgebra, $B$ of $A$ with the form $PC(X, M_n)P$, where $X$ is a compact metric space with covering dimension no more than $d$ and $P/in C(X, M_n)$ is a projection, such that $ /mathrm{dist}(a, B)</epsilon /text{ for all } a/in/mathcal {F}.$ The authors prove that the class of unital separable simple $C^/ast$-algebras which are locally AH with no dimension growth can be classified up to isomorphism by their Elliott invariant. As a consequence unital separable simple $C^/ast$-algebras which are locally AH with no dimension growth are isomorphic to a unital simple AH-algebra with no dimension growth.

Produkt-Details

• Erscheint lt. Verlag: 4.9.2015
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 1-4704-2225-5 / 1470422255
• ISBN-13: 978-1-4704-2225-7 / 9781470422257