Gerard Murphy | Academic Influence

Gerard Murphy 's AcademicInfluence.com Rankings

Gerard Murphy

Mathematics

#6103

World Rank

#8515

Historical Rank

Group Theory

#230

World Rank

#272

Historical Rank

Algebra

#539

World Rank

#714

Historical Rank

Measure Theory

#3317

World Rank

#3919

Historical Rank

mathematics Degrees

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Mathematics

Gerard Murphy 's Degrees

PhD Mathematics National University of Ireland
Masters Applied Mathematics National University of Ireland
Bachelors Mathematics National University of Ireland

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Why Is Gerard Murphy Influential?

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According to Wikipedia, Gerard J. Murphy MRIA was a prolific Irish mathematician. His textbooks are internationally acclaimed, and translated into different languages. He died from cancer in October 2006, at the age of 57.

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Gerard Murphy 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

C*-Algebras and Operator Theory (1990) (1574)
Crossed products of C*-algebras by endomorphisms (1996) (136)
Co-amenability of compact quantum groups (2000) (132)
Derivations mapping into the radical (1991) (109)
Differential calculi over quantum groups and twisted cyclic cocycles (2001) (98)
Positive definite kernels and Hilbert C*-modules (1997) (63)
Products of Toeplitz operators (1997) (48)
Crossed Products of C*-Algebras by Semigroups of Automorphisms (1994) (46)
AMENABILITY AND COAMENABILITY OF ALGEBRAIC QUANTUM GROUPS (2001) (37)
Ordered groups and crossed products of C∗-algebras (1991) (37)
Toeplitz operators and algebras (1991) (35)
The reign of the emperor L. Septimius Severus from the evidence of the inscriotions (1950) (31)
Unitarily-invariant linear spaces in C*-algebras (1998) (25)
Diagonality inC*-algebras (1988) (24)
Hardware - Software Implementation of Public-Key Cryptography for Wireless Sensor Networks (2006) (23)
Amenability and Co-Amenability of Algebraic Quantum Groups II. (2001) (22)
Spectral radius formulae (1979) (22)
Continuity of the spectrum and spectral radius (1981) (20)
Primitivity Conditions for Full Group C*‐Algebras (2003) (20)
$C^*$-Algebras Generated by Commuting Isometries (1996) (18)
Triangularizable algebras of compact operators (1982) (17)
K-Theory of C*-Algebras (1990) (16)
Toeplitz operators on generalised H2 spaces (1992) (15)
Quantum groups, differential calculi and the eigenvalues of the laplacian (2001) (13)
Topological and analytical indices in C∗-algebras (2006) (11)
Lie Ideals in Associative Algebras (1984) (10)
Aspects of the theory of derivations (1994) (10)
Uniqueness of the trace and simplicity (2000) (10)
Aspects of compact quantum group theory (2004) (9)
Representations of C*-Algebras (1990) (8)
Simplicity of crossed products by endomorphisms (2002) (8)
Toeplitz Operators Associated to Unimodular Algebras (2003) (7)
The analytic rank of a C*-algebra (1992) (7)
Extensions of multipliers and dilations of projective isometric representations (1997) (7)
Inner Functions and Toeplitz Operators (1993) (6)
Commutative non-Archimedean $C^{\ast}$-algebras. (1978) (5)
Chondroblastoma of the acromion (1995) (5)
Associative and Lie subalgebras of finite codimension (1983) (5)
The Index Theory Associated to a Non-Finite Trace on a C*-Algebra (2005) (5)
Invariant ideals in Toeplitz algebras (1999) (5)
Representation and index theory for Toeplitz operators (2010) (4)
Almost-invertible Toeplitz operators and K-theory (1992) (4)
Fast atrial fibrillation induced by azathioprine (1985) (4)
Lifting sets and the Calkin algebra (1982) (3)
C*-ALGEBRAS WITH THE APPROXIMATE POSITIVE FACTORIZATION PROPERTY (1995) (3)
Myofascial trigger points. (1989) (3)
Products of positive operators (1997) (2)
Hyperinvariant subspaces and the topology on ${\rm Lat}\,A$. (1984) (2)
The C*-Algebra of a Function Algebra (2003) (2)
Removing the interior of the spectrum (1980) (2)
Direct Limits and Tensor Products (1990) (2)
C*-Algebras and Hilbert Space Operators (1990) (2)
Electrotherapeutics in managing TMD. (1991) (1)
COMMUTATIVE NON-ARCHIMEDEAN C-ALGEBRAS (2012) (1)
Differential calculi over quantum groups (2003) (1)
Sums of Laurent and bilateral Hankel operators (1988) (1)
Decomposition algebras of Riesz operators (1980) (1)
Choquet Theory in Metric Spaces (2005) (0)
The anterior determinants of occlusion--how and why. (1981) (0)
1.2. The vanishing interior of the spectrum (1984) (0)
Ideals and Positive Functionals (1990) (0)
Von Neumann Algebras (1990) (0)
Acute febrile mucocutaneous lymph node syndrome (Kawasaki disease) (1986) (0)
Abortion in the first trimester (1992) (0)
Elementary Spectral Theory (1990) (0)
2.2. The spectral radius formula in quotient algebras (1984) (0)
The Dirac operator on compact quantum groups Dedicated to the memory of (2007) (0)
Averaging theorems for linear operators in compact groups and semigroups (1997) (0)
Type I Toeplitz algebras (1997) (0)

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What Schools Are Affiliated With Gerard Murphy ?

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