Free Semigroup Algebras A Survey

2001 ◽  
pp. 209-240 ◽  
Author(s):  
Kenneth R. Davidson
Keyword(s):  
Free Semigroup ◽  
Semigroup Algebras

scholarly journals Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras

1999 ◽  
Vol 78 (2) ◽  
pp. 401-430 ◽  
Author(s):  
Kenneth R. Davidson ◽  
David R. Pitts
Keyword(s):  
Free Semigroup ◽  
Invariant Subspaces ◽  
Semigroup Algebras

Spectra in Some Inverse Semigroup Algebras

2004 ◽  
Vol 104 (2) ◽  
pp. 211-218 ◽  
Author(s):  
M. J. Crabb ◽  
J. Duncan ◽  
C. M. McGregor
Keyword(s):  
Inverse Semigroup ◽  
Semigroup Algebras

Short Generating Functions for some Semigroup Algebras

10.37236/1729 ◽  
2003 ◽  
Vol 10 (1) ◽  
Author(s):  
Graham Denham
Keyword(s):  
Rational Function ◽  
Generating Functions ◽  
Hilbert Series ◽  
Simple Expression ◽  
Arbitrary Field ◽  
Graded Algebra ◽  
Semigroup Algebras ◽  
Positive Integers

Let $a_1,\ldots,a_n$ be distinct, positive integers with $(a_1,\ldots,a_n)=1$, and let k be an arbitrary field. Let $H(a_1,\ldots,a_n;z)$ denote the Hilbert series of the graded algebra k$[t^{a_1},t^{a_2},\ldots,t^{a_n}]$. We show that, when $n=3$, this rational function has a simple expression in terms of $a_1,a_2,a_3$; in particular, the numerator has at most six terms. By way of contrast, it is known that no such expression exists for any $n\geq4$.

scholarly journals Homological dimension in semigroup algebras

1971 ◽  
Vol 18 (3) ◽  
pp. 404-413 ◽  
Author(s):  
William R Nico
Keyword(s):  
Homological Dimension ◽  
Semigroup Algebras

The Bochner–Schoenberg–Eberlein Property for Totally Ordered Semigroup Algebras

2015 ◽  
Vol 22 (6) ◽  
pp. 1225-1234 ◽  
Author(s):  
Zeinab Kamali ◽  
Mahmood Lashkarizadeh Bami
Keyword(s):  
Ordered Semigroup ◽  
Semigroup Algebras

scholarly journals Operator Algebras with Unique Preduals

2011 ◽  
Vol 54 (3) ◽  
pp. 411-421 ◽  
Author(s):  
Kenneth R. Davidson ◽  
Alex Wright
Keyword(s):  
Banach Space ◽  
Operator Algebra ◽  
Free Semigroup ◽  
Operator Algebras ◽  
Compact Operators ◽  
Semigroup Algebra ◽  
Dense Subalgebra

AbstractWe show that every free semigroup algebra has a (strongly) unique Banach space predual. We also provide a new simpler proof that a weak-∗ closed unital operator algebra containing a weak-∗ dense subalgebra of compact operators has a unique Banach space predual.

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