The commutator ideal in Toeplitz algebras for uniform algebras and the analytic structure
نویسندگان
چکیده
منابع مشابه
M-IDEAL STRUCTURE IN UNIFORM ALGEBRAS
It is proved that if A is aregular uniform algebra on a compact Hausdorff space X in which every closed ideal is an M-ideal, then A = C(X).
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولFactoring in Non-commutative Analytic Toeplitz Algebras
The non-commutative analytic Toeplitz algebra is the wot-closed algebra generated by the left regular representation of the free semigroup on n generators. The structure theory of contractions in these algebras is examined. Each is shown to have an H∞ functional calculus. The isometries defined by words are shown to factor only as the words do over the unit ball of the algebra. This turns out t...
متن کاملClassifying higher rank analytic Toeplitz algebras
To a higher rank directed graph (Λ, d), in the sense of Kumjian and Pask, 2000, one can associate natural noncommutative analytic Toeplitz algebras, both weakly closed and norm closed. We introduce methods for the classification of these algebras in the case of single vertex graphs.
متن کاملOn the maximal ideal space of extended polynomial and rational uniform algebras
Let K and X be compact plane sets such that K X. Let P(K)be the uniform closure of polynomials on K. Let R(K) be the closure of rationalfunctions K with poles o K. Dene P(X;K) and R(X;K) to be the uniformalgebras of functions in C(X) whose restriction to K belongs to P(K) and R(K),respectively. Let CZ(X;K) be the Banach algebra of functions f in C(X) suchthat fjK = 0. In this paper, we show th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 1997
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s000130050113