The structure of free semigroup algebras

By K. Davidson, Elias G. Katsoulis, D. Pitts. 2000

105 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b68f288d2b1fac6d2cd6537dfe6e4c844ca5ec96

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. K. Davidson
2. Gelu Popescu
3. Orr Shalit
4. Guy Salomon
5. B. Solel
6. Christopher Ramsey
7. P. Muhly
8. Jiankui Li

Citations in the corpus

• Operator Theory on Noncommutative Domains (2007, unknown): “Introduced in [70] in connection with a multivariable noncommutative von Neumann inequality, the noncommutative analytic Toeplitz algebra F∞ n has been studied in several papers [68], [69], [72], [73], [74], [76], [6], and recently in [35], [36], [37], [8], [78], [39], [64], [81], and [87].”
• Free holomorphic automorphisms of the unit ball of B(ℋ) n (2008, background): “These algebras have been intensively studied in recent years ([21], [22], [23], [24], [25], [26], [1], [10], [9], [8], [30]).”
• Unitary Invariants in Multivariable Operator Theory (2004, background): “pectral) interpolation, etc. The noncommutative analytic Toeplitz algebra F∞ n has been studied in several papers [45], [46], [48], [49], [50], [52], [1], and recently in [15], [16], [17], [3], [54], [18], [40], and [56]. Date: April 12, 2004. 2000 Mathematics Subject Classification. Primary: 47A13, ”
• Free Semigroupoid Algebras (2003, background): “The noncommutative analytic Toeplitz algebras Ln, n ≥ 2 [1, 8, 9, 10, 25, 30, 31], the fundamental free semigroup algebras, arise from the graphs with a single vertex and n distinct loop edges.”
• ABSOLUTELY CONTINUOUS REPRESENTATIONS AND A KAPLANSKY DENSITY THEOREM FOR FREE SEMIGROUP ALGEBRAS (2004, methodology): “However in [12], two of the current authors and Katsoulis were able to expose a rather precise and beautiful structure for arbitrary free semigroup algebras.”
• Entropy and Multivariable Interpolation (2003, background): “The noncommutative analytic Toeplitz algebra F ∞ n has been studied in several papers [39], [40], [43], [44], [45], [47], [2], and recently in [14], [15], [16], [4], [51], [13], [36], and [56].”
• Free holomorphic functions on the unit ball of B(H)n (2006, unknown): “e with ngenerators, F2(Hn), and the identity. These algebras have been intensively studied in recent years by many authors ([27], [28], [29], [30], [31], [32], [34], [35], [36], [2], [3], [16], [17], [13], [24], [40]). The results of this section are used to obtain a maximum principle for free holom”
• The isomorphism problem for some universal operator algebras (2010, background): “, Vd} may fall into several quite different isomorphism classes: it might be Ld , it might be a type I∞ factor, and it might be something “in between” (see [15,16,19,31]).”
• Free holomorphic functions and interpolation (2007, background): “They have been studied in several papers [25], [26], [29], [30], [31], [33], and recently in [10], [9], [8], [2], [34], [7], [22], [35], and [40].”
• Hardy algebras, W*-correspondences and interpolation theory (2003, background): “When dimH = 1, this result was obtained by Popescu in [32, Corollary 1.3] and by Davidson and Pitts in [15, Theorem 1.2].”