[1]

G. Aranda Pino, J. Clark, A. an Huef and I. Raeburn,
KumjianâPask algebras of higher-rank graphs,
Trans. Amer. Math. Soc. 365 (2013), no. 7, 3613â3641.
GoogleÂ Scholar

[2]

V. Beuter and L. Cordeiro,
The dynamics of partial inverse semigroup actions,
preprint (2018), https://arxiv.org/abs/1804.00396.

[3]

V. M. Beuter and D. GonĂ§alves,
Partial crossed products as equivalence relation algebras,
Rocky Mountain J. Math. 46 (2016), no. 1, 85â104.
GoogleÂ Scholar

[4]

V. M. Beuter and D. GonĂ§alves,
The interplay between Steinberg algebras and partial skew rings,
J. Algebra 497 (2018), 337â362.
GoogleÂ Scholar

[5]

G. Boava and R. Exel,
Partial crossed product description of the ${C}^{*}$-algebras associated with integral domains,
Proc. Amer. Math. Soc. 141 (2013), no. 7, 2439â2451.
GoogleÂ Scholar

[6]

J. Brown, L. O. Clark, C. Farthing and A. Sims,
Simplicity of algebras associated to Ă©tale groupoids,
Semigroup Forum 88 (2014), no. 2, 433â452.
GoogleÂ Scholar

[7]

A. Buss and R. Exel,
Inverse semigroup expansions and their actions on ${C}^{*}$-algebras,
Illinois J. Math. 56 (2012), no. 4, 1185â1212.
GoogleÂ Scholar

[8]

T. M. Carlsen and N. S. Larsen,
Partial actions and KMS states on relative graph ${C}^{*}$-algebras,
J. Funct. Anal. 271 (2016), no. 8, 2090â2132.
GoogleÂ Scholar

[9]

L. O. Clark and C. Edie-Michell,
Uniqueness theorems for Steinberg algebras,
Algebr. Represent. Theory 18 (2015), no. 4, 907â916.
GoogleÂ Scholar

[10]

L. O. Clark, C. Edie-Michell, A. an Huef and A. Sims,
Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras,
Trans. Amer. Math. Soc., 10.1090/tran/7460.
GoogleÂ Scholar

[11]

L. O. Clark, R. Exel and E. Pardo,
A generalized uniqueness theorem and the graded ideal structure of Steinberg algebras,
Forum Math. 30 (2018), no. 3, 533â552.
GoogleÂ Scholar

[12]

L. O. Clark, R. Exel, E. Pardo, A. Sims and C. Starling,
Simplicity of algebras associated to non-Hausdorff groupoids,
preprint (2018), https://arxiv.org/abs/1806.04362.

[13]

L. O. Clark, C. Farthing, A. Sims and M. Tomforde,
A groupoid generalisation of Leavitt path algebras,
Semigroup Forum 89 (2014), no. 3, 501â517.
GoogleÂ Scholar

[14]

L. O. Clark and A. Sims,
Equivalent groupoids have Morita equivalent Steinberg algebras,
J. Pure Appl. Algebra 219 (2015), no. 6, 2062â2075.
GoogleÂ Scholar

[15]

M. Dokuchaev,
Partial actions, crossed products and partial representations,
Resenhas 5 (2002), no. 4, 305â327.
GoogleÂ Scholar

[16]

M. Dokuchaev and R. Exel,
Associativity of crossed products by partial actions, enveloping actions and partial representations,
Trans. Amer. Math. Soc. 357 (2005), no. 5, 1931â1952.
GoogleÂ Scholar

[17]

M. Dokuchaev and R. Exel,
The ideal structure of algebraic partial crossed products,
Proc. Lond. Math. Soc. (3) 115 (2017), no. 1, 91â134.
GoogleÂ Scholar

[18]

R. Exel,
Circle actions on ${C}^{*}$-algebras, partial automorphisms, and a generalized PimsnerâVoiculescu exact sequence,
J. Funct. Anal. 122 (1994), no. 2, 361â401.
GoogleÂ Scholar

[19]

R. Exel,
Partial actions of groups and actions of inverse semigroups,
Proc. Amer. Math. Soc. 126 (1998), no. 12, 3481â3494.
GoogleÂ Scholar

[20]

R. Exel and M. Laca,
CuntzâKrieger algebras for infinite matrices,
J. Reine Angew. Math. 512 (1999), 119â172.
GoogleÂ Scholar

[21]

R. Exel and E. Pardo,
The tight groupoid of an inverse semigroup,
Semigroup Forum 92 (2016), no. 1, 274â303.
GoogleÂ Scholar

[22]

R. Exel and F. Vieira,
Actions of inverse semigroups arising from partial actions of groups,
J. Math. Anal. Appl. 363 (2010), no. 1, 86â96.
GoogleÂ Scholar

[23]

T. Giordano, D. GonĂ§alves and C. Starling,
BratteliâVershik models for partial actions of $\mathrm{\xe2\x84\u20ac}$,
Internat. J. Math. 28 (2017), no. 10, Article ID 1750073.
GoogleÂ Scholar

[24]

D. GonĂ§alves,
Simplicity of partial skew group rings of abelian groups,
Canad. Math. Bull. 57 (2014), no. 3, 511â519.
GoogleÂ Scholar

[25]

D. GonĂ§alves, J. Ăinert and D. Royer,
Simplicity of partial skew group rings with applications to Leavitt path algebras and topological dynamics,
J. Algebra 420 (2014), 201â216.
GoogleÂ Scholar

[26]

D. GonĂ§alves and D. Royer,
${C}^{*}$-algebras associated to stationary ordered Bratteli diagrams,
Houston J. Math. 40 (2014), no. 1, 127â143.
GoogleÂ Scholar

[27]

D. GonĂ§alves and D. Royer,
Leavitt path algebras as partial skew group rings,
Comm. Algebra 42 (2014), no. 8, 3578â3592.
GoogleÂ Scholar

[28]

D. GonĂ§alves and D. Royer,
Infinite alphabet edge shift spaces via ultragraphs and their ${C}^{*}$-algebras,
Int. Math. Res. Not. IMRN (2017), 10.1093/imrn/rnx175.
GoogleÂ Scholar

[29]

D. GonĂ§alves and D. Royer,
Simplicity and chain conditions for ultragraph Leavitt path algebras via partial skew group ring theory,
preprint (2017), https://arxiv.org/abs/1706.03628v2.

[30]

D. GonĂ§alves and D. Royer,
Ultragraphs and shift spaces over infinite alphabets,
Bull. Sci. Math. 141 (2017), no. 1, 25â45.
GoogleÂ Scholar

[31]

W. D. Munn,
Fundamental inverse semigroups,
Quart. J. Math. Oxford Ser. (2) 21 (1970), 157â170.
GoogleÂ Scholar

[32]

P. Nystedt, J. Ăinert and H. Pinedo,
Artinian and noetherian partial skew groupoid rings,
J. Algebra 503 (2018), 433â452.
GoogleÂ Scholar

[33]

J. Ăinert,
Simple group graded rings and maximal commutativity,
Operator Structures and Dynamical Systems,
Contemp. Math. 503,
American Mathematical Society, Providence (2009), 159â175.
GoogleÂ Scholar

[34]

J. Renault,
Cartan subalgebras in ${C}^{*}$-algebras,
Irish Math. Soc. Bull. (2008), no. 61, 29â63.
GoogleÂ Scholar

[35]

N. Sieben,
${C}^{\xe2\x88\x97}$-crossed products by partial actions and actions of inverse semigroups,
J. Aust. Math. Soc. Ser. A 63 (1997), no. 1, 32â46.
GoogleÂ Scholar

[36]

B. Steinberg,
A groupoid approach to discrete inverse semigroup algebras,
Adv. Math. 223 (2010), no. 2, 689â727.
GoogleÂ Scholar

[37]

B. Steinberg,
Modules over Ă©tale groupoid algebras as sheaves,
J. Aust. Math. Soc. 97 (2014), no. 3, 418â429.
GoogleÂ Scholar

[38]

B. Steinberg,
Simplicity, primitivity and semiprimitivity of Ă©tale groupoid algebras with applications to inverse semigroup algebras,
J. Pure Appl. Algebra 220 (2016), no. 3, 1035â1054.
GoogleÂ Scholar

[39]

B. Tabatabaie Shourijeh and S. Moayeri Rahni,
Partial semigroup algebras associated to partial actions,
Aust. J. Math. Anal. Appl. 13 (2016), no. 1, Article ID 14.
GoogleÂ Scholar

## CommentsÂ (0)

General note:By using the comment function on degruyter.com you agree to our Privacy Statement. A respectful treatment of one another is important to us. Therefore we would like to draw your attention to our House Rules.